Answer:
800
Step-by-step explanation:it's cuz g represents
Which of the following values would complete the ordered pair if the point is on the graph of ƒ(x) = -2x + 3?
Answer:
There are no "following values" in the problem.
Step-by-step explanation:
ƒ(x) = -2x + 3
For any value of X, enter that number in the equation and calculate f(x) [y].
For example, if x is 2:
ƒ(x) = -2x + 3
ƒ(2) = -2(2) + 3
y = -2(2) + 3
y = -4+3
y = -1
The ordered pair for when x=2 would be (2,-1)
There is a swimming pool which has a length of 15 m and a width of 12 m. There is a 2 m wide path around the pool. If the cost of the path is $5 per , what is the cost of the path? Use words, numbers, and/or symbols to justify your answer.
The cost of the path around the swimming pool with length 15m and width 12m is $1,190
Area of a rectangleLength = 15mWidth = 12mPathway with 2m wide:
Length = 15m + 2m = 17mWidth = 12m + 2m = 14mArea of the path = length × width
= 17m × 14m
= 238 square meters
Cost of the path = $5 per square meterTotal cost of the path = 238 square meters × $5
= $1,190
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L 1.9.3 Test (CST): Foundations of Geometry
Question 19 of 25
Which of the diagrams below represents the statement "If it is a tree, then it
has leaves"?
has leaves
tree
Figure A
O A. Figure A
OB. Figure B
tree
has leaves
Figure B
Figure A is a diagram which represents the statement "If it is a tree, then it has leaves."
How to analyze and interpret the diagram?In figure A, we can observe that the subset representing "trees" lie inside another subset which represents "has leaves." Thus, we can logically deduce that the statement "All trees have leaves" and "if it is a tree, it has leaves" is represented by figure A.
On the other hand, we can observe that the subset representing "has leaves" lie inside another subset which represents "trees," which contradicts the given statement "If it is a tree, then it has leaves."
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If x is increased by 25% then, by what % is x² increased
By analytical methods and algebraic handling and on the basis that x is increased by 25 %, we conclude that the variable x² is increased by 18.75 %.
How to determine the percentage increase rate
In this case we have a linear variable x, whose increase is described by the following expression:
y = x · (1 + r/100) (1)
Where r is the increase rate.
If we square (1), then we find that:
y² = x² · (1 + r/100)² = (1 + r'/100) (2)
Where r' is the equivalent increase rate.
(1 + r/50 + r²/10000) = (1 + r'/100)
r'/100 = r/50 + r²/10000
r' = r/2 + r²/100
If we know that r = 25, then the equivalent increase rate is:
r' = 25/2 + 25²/100
r' = 18.75
By analytical methods and algebraic handling and on the basis that x is increased by 25 %, we conclude that the variable x² is increased by 18.75 %.
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If 2 inches is 5 centimeters, which of following is correct?
Unit conversion is a way of converting some common units into another without changing their real value. The correct option is D.
What is unit conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
The complete question is mentioned in the below image.
Given that 2 inches are 5 centimeters. Therefore, the ratio of an inch to centimeters are,
2 inches = 5 centimeters
1 inch = 5/2 centimetes
Now, if using the ratio, the measurements are converted then,
A.) 7 inches = 7 × (5/2)centimeters = 17.5 centimetes
B.) 5 inches = 5 × (5/2)centimeters = 12.5 centimetes
C.) 8 inches = 8 × (5/2)centimeters = 20 centimetes
D.) 3 inches = 3 × (5/2)centimeters = 7.5 centimetes
As it can be observed that the correct statement is D If 2 inches is 5 centimeters, then 3 inches is 7.5 centimeters. Hence, the correct option is D.
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The interior angle of the regular pentagon below measures 108°, and the
pentagon has rotational symmetry. What is the following measure of
an interior angle after a 90° rotation around the point of symmetry?
PLEASE ANSWER ASAP ACTUALLY ANSWER PLEASE AS SOON AS YOU CAN PLEASE I NEED IT
Graph the quadratic equation. Zoom and pan your graph to establish an appropriate viewing window.
X^2 + 2x - 24 = 0
Step-by-step explanation:
x=4,-6
im pretty sure this is correct
The cost of the toy is expressed by the function y = 3x + 5, where x is the number of toys. If Peter bought 8 toys, find the cost of the toys.
Answer: If Peter bought 8 toys, the cost of the toys will be 29.
From the equation, y = 3x + 5, they have given the value of x as eight. So if we put eight in the equation and solve it, we will get the value of y. I believe there are some errors in the question as it doesn't specify that y is the cost. Also cost requires some sort of unit, which is not given in the context. I can't really tell if it is dollars or rubles or pounds etc. So I just gave it as the way it is. Since no other clues are given, this is most likely it.
y = 3x + 5
y = 3(8) + 5
y = 24 + 5
y = 29
∩_∩
(„• ֊ •„)♡
┏━∪∪━━━━┓
hope it helped
┗━━━━━━━┛
PLS HELPPPP I NEED AN ANSWER ASAP WILL GIVE BRAINIEST
What are the alternate exterior angle pairs in the picture below?
∠1 and ∠2, ∠7 and ∠8
∠1 and ∠8, ∠2 and ∠7
∠1 and ∠7, ∠2 and ∠8
Answer:
∠1 and ∠2, ∠7 and ∠8
Answer:
∠1 and ∠7, ∠2 and ∠8
Step-by-step explanation:
just took the quiz
Wendy and two friends went out to eat and decided they would split the bill. The total bill was 35.40. They also decided to leave a 20% tip. What is the price that each person paid?
Answer:
14.16
Step-by-step explanation:
we first calculate the total amount of money paid, which is 35.40 plus 20%, we use this calculation:
35.40×1.20 = 42.48
now, this amount is split to 3 people, so:
42.48/3 = 14.16
and that is our answer
Please help!
Find m<1
1
60°
63°
Answer:
i think 150 degrees
Step-by-step explanation:
the 30° angle and ∠1 are a linear pair, and are supplementary. therefore they add up to 180°
∠1 + 30° = 180°
4x=5-2y
y-2x=7
to solve using subsitution, what can be subsituted in place of y in the first equation?
Answer:
y = 7+2x
Step-by-step explanation:
4x = 5 - 2y __(1)
y - 2x = 7 __(2)
From eq (2) ,
y = 7 + 2x
Hence, we can substitute (7+2x) in place of y in the first equation.
Peter uses the equation y = StartFraction 13 over 4 EndFraction x to model the number of miles that he has walked in x hours. Which statement is true about the proportional relationship that is modeled by Peter’s equation?
The true statement is Peter walks at a rate of 13 over 4 miles per hour.
What is the true statement?Direct variation is when two variables move in the same direction. If one variable increases, the other variable increases. When the hour Peter walks increases, the distance he walks also increases.
Here are the options:
Peter walks at a rate of StartFraction 4 over 13 EndFraction miles per hour.
Peter walks at a rate of 4 miles per hour.
Peter walks at a rate of StartFraction 13 over 4 EndFraction miles per hour.
Peter walks at a rate of 13 miles per hour.
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x = √3 + √2/ √3 - √2
y = √3 - √2/ √3 + √2
Find x² + y²
Answer: 98
Given following:
[tex]\Longrightarrow \sf x = \dfrac{\sqrt{3} +\sqrt{2} }{\sqrt{3} - \sqrt{2} }[/tex]
[tex]\Longrightarrow \sf y = \dfrac{\sqrt{3} -\sqrt{2} }{\sqrt{3} + \sqrt{2} }[/tex]
Solve for x² + y²:
[tex]\rightarrow \sf \left(\:\dfrac{\sqrt{3}\:+\sqrt{2}\:\:}{\sqrt{3}\:-\:\sqrt{2}\:}\right)^2\:+\:\left(\dfrac{\sqrt{3}\:\:-\sqrt{2}\:\:}{\sqrt{3}\:+\:\sqrt{2}\:\:}\:\right)^2[/tex]
simplify following
[tex]\rightarrow \sf 49+20\sqrt{6}+49-20\sqrt{6}[/tex]
add/subtract similar terms
[tex]\rightarrow \sf 98[/tex]
in a dilation, what is preserved and what is altered?
Answer:
A dilation preserves angle measures.
A dilation alters the length of line segments by the same proportion.
Step-by-step explanation:
A dilatation is a transformation that alters a figure's size while maintaining its shape and orientation. Each linear measure of the figure, such as a side length, is multiplied by the scale factor of a dilatation. A dilation is a transformation where all line segments' lengths are altered uniformly. While a dilatation can alter a figure's size, it cannot alter a figure's form. Dilations are not isometries as the figure's size changes.
PLEASE HELP ME, I BEG OF YOU TO HAVE MERCY ON MY POOR SOUL
1. Calculate the slope of the trend line. (Choose two points on the line and find vertical change over horizontal change.)
2. Using the slope and y-intercept, write the equation of the trend line (y = mx + b).
3. Choose a "calories from fat" value that is not in your collected data set and that is at least 10 fat calories away from any collected value. Use the equation calculated in step to predict the number of fat grams in an item having that number of fat calories. Be sure to show your work.
4. Search for an item in a fast food menu having the same number of fat calories as the one you chose above. (If you cannot find the exact value, get as close as you can.) Compare the calculated value from step VI to this actual value. Explain why (or why not) you would have expected your prediction (calculated value) to be close to the actual value.
The regression line is y = 10x + 300, and the value of calories is 90 and when x = 14 the value of y = 440 from the regression line, but the actual value is 330.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph.
It's a kind of linear regression that uses scatter data to figure out the best way to define the dot's relationship.
From the data given, we can write the slope and y-intercept form:
y = mx + b
here, m = 10 and b = 300
y = 10x + 300
The number of fat grams in an item has that number of fat calories.
As we have the regression line:
y = 10x + 300
Put x = 1 in the regression line:
y = 10(1) + 300
y = 310 calories
For x = 14
y = 10(14) + 300 = 440
But the actual value from the graph is 330.
Thus, the regression line is y = 10x + 300, and the value of calories is 90 and when x = 14 the value of y = 440 from the regression line, but the actual value is 330.
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Mr. Sanchez’s class sold fruit pies for $1.73 each and Mr. Kelly’s class sold bottles of fruit juice for $1.44 each. Together, the classes sold 83 items and earned $130.83 for their school. Write and solve a system of equations that models this problem. Show all your work.
Answer:
p = 39 f = 44
Step-by-step explanation:
p = $ 1.73
f = $ 1.44
equation
p + f = 83
1.73 p + 1.44 (83 - p) = $ 130.83
p = 39 (amount of times fruit pies were sold).
Therefore,
p = 39
f = 44
All the edges of the object in the diagram are equal in length. The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges. What is the shape of the cross-section resulting from the cut?
The shape of the cross-section resulting from the cut is rhombus.
What is a rhombus?A rhombus simply means a shape that has opposite sides to be parallel and the sides are equal.
Given:
object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges.
Edges of the object in the diagram are equal in length and that the object is cut by a vertical plane containing A and B.
Hence, the shape of the cross-section resulting from the cut is a rhombus.
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Given line AC is tangent to circle O.
If m(arc BY)= 44, enter the m∠YAC.
(The figure is not drawn to scale.)
The measure of <YAC from the figure is. 68 degrees
Circle theoremThe given figure is made up of line and angles.
Since the line AC is tangential to the circle, hence <BAC = 90 degrees and;
<BAY + <YAC = 90degrees
Determine the measure of <BAY
<BAY = 1/2(arcBY)
<BAY = 1/2(44)
<BAY = 22degrees
From the expression above;
<YAC = 90 - 22
<YAC = 68 degrees
Hence the measure of <YAC from the figure is. 68 degrees
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If f(x) = 7 + 4x and g (x) = StartFraction 1 Over 2 x EndFraction, what is the value of (StartFraction f Over g EndFraction) (5)?
Eleven-halves
StartFraction 27 Over 10 EndFraction
160
270
The value of (StartFraction f Over g EndFraction) (5) will be 270
Fraction is a number that is stated as a quotient in mathematics, when the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a correct fraction is smaller than the denominator.
Given f(x) = 7 + 4x and g (x) = StartFraction 1 Over 2 x EndFraction
We have to find the value of (StartFraction f Over g EndFraction) (5)
Given that the functions f and g are defined by f(x) = 7 + 4x and g(x) = 1/2x
First find the value of (f/g)(x):
(f/g)(x) = (7+4x)/(1/2x)
=(7+4x)(2x)
=7(2x)+4x(2x)
(f/g)(x) = 14x + 8x^2
Put x=5 in the above function,
(f/g)(5) = 14(5) + 8(5)^2
= 70+8(25)
= 70+200
(f/g)(5) = 270
Hence value of (StartFraction f Over g EndFraction) (5) will be 270
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Answer: D.270
Step-by-step explanation:
just got it right on unit test on edge
can someone please help and explain its due in a littleee
Answer:
Step-by-step explanation:
pleasee help with these functions
By applying a composition of f(x) = - (1/2) · x² + 5 · x with respect to g(x) = x² + 2 and evaluating the resulting expression at x = - 2, the value of f(g (-2)) is 12. (Correct choice: C)
How to evaluate a composed function
Let be f and g functions, there is a composition of f with respect to g when the input of the former is substituted by the output of the latter. It is to notice that composition is a binary operation between functions.
If we know that f(x) = - (1/2) · x² + 5 · x, g(x) = x² + 2 and x = -2, then the composed function evaluated is:
f(g (x)) = - (1/2) · (x² + 2)² + 5 · (x² + 2)
f(g (- 2)) = - (1/2) · 6² + 5 · 6
f(g (- 2)) = 12
By applying a composition of f(x) = - (1/2) · x² + 5 · x with respect to g(x) = x² + 2 and evaluating the resulting expression at x = - 2, the value of f(g (-2)) is 12. (Correct choice: C)
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In studies that use more than one data collector, how is the consistency of the data evaluated?.
The way that the consistency of data is evaluated if more than one data collector is used is; Inter - rater reliability
How to find consistency in data research?When researching data about anything, it is pertinent to note that sometimes, we have to use more than one data collector just to get a more thorough result which only one person may not be able to generate.
Now, the way that consistency of data is evaluated when more than one data collector is used is via Inter-rater reliability. This is because Inter-rater reliability is the extent to which two or more raters or observers agree.
The benefit of Inter-rater reliability is that It addresses the issue of consistency of the implementation of a rating system. Inter-rater reliability can be evaluated by using a number of different statistics.
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please answer I've got 10 mins
100 POINTS FOR BRAINLIEST
Determine if the two expressions are equivalent and explain your reasoning.
3(4n) + 2 + 6n and 13n + 2
Answer:
3(4n) + 2 + 6n
12n + 2 + 6n
12n + 6n + 2
18n + 2 is not equal to 13n + 2
hence both the expression are not equivalent
What is the area of Vivian’s garage door?
The area of Vivian’s garage door is 62.5 square feet
Area of composite shape.The Vivian garage is made up of a trapezoid and a rectangle. The area of the door is expressed as;
Area = Area of rectangle + area of trapezoid
Area = (5 * 8) + 0.5(7 + 8)*3
Area= 40 +22.5
Area = 62.5 square feet
Hence the area of Vivian’s garage door is 62.5 square feet
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Solve 1 2 1 2x = x2 − 7x 10 4x by rewriting the equation as a proportion. which proportion is equivalent to the original equation?
The proportion that is equivalent to the original equation is [tex]\frac{x+1}{2x} =\frac{x^2-7x+10}{4x}[/tex]
Rational expressionsGiven the following expression
[tex]\frac{1}{2} + \frac{1}{2x} =\frac{x^2-7x+10}{4x}[/tex]
In order to find the equivalent proportion, we will find the LCM of the right side expression to have:
[tex]\frac{1}{2} + \frac{1}{2x} =\frac{x^2-7x+10}{4x}\\\frac{x+1}{2x} =\frac{x^2-7x+10}{4x}[/tex]
Hence the proportion that is equivalent to the original equation is [tex]\frac{x+1}{2x} =\frac{x^2-7x+10}{4x}[/tex]
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Answer: For the next part
✔ x = 1 and x = 8
✔ x = 0
what is the value of k? ____ units
Answer:
2
Step-by-step explanation:
Corresponding sides are proportional in these similar triangles.
__
short side/long side = k/4 = 4/8
k = 4(4/8) . . . . multiply by 4
k = 2
_____
Additional comment
The lengths of the hypotenuses can be found the same way, or using the Pythagorean theorem. Using side ratios, we have ...
l² = k(k+8) = 2(10) = 20 . . . . from MN/MO = ML/MN
l = 2√5
m² = 8(8+2) = 80 . . . . from LN/LO = LM/LN
m = 4√5
The similarity statements are ...
ΔLMN ~ ΔLNO ~ ΔNMO
is y+15=30,y=20 true or false?
Answer:
Y + 15 = 30
Y = 30 - 15
Y = 15
15 is not equal to 20
False
PLEASE ANSWER ASAP!!!!!!
The function f(x)=−6sin(7/3x+1/6)−5 models the average rate of change in temperature of a substance monitored in an experiment. In the function, x represents the number of minutes since the commencement of the experiment and the temperature of the substance is measured in degrees Fahrenheit.
Over what range of temperatures does the average rate of change in temperature fall?
Enter a value in each box to correctly complete the statement.
The range in the average rate of change in temperature of the substance is from a low
temperature of ____ F to a high of ________ F
The range in the average rate of change in temperature of the substance is from a low temperature of 1 F to a high of -11 F.
What is a formula for Fahrenheit?The conversion formula for a temperature that is expressed on the Celsius (°C) scale to its Fahrenheit (°F) ;
°F = (9/5 × °C) + 32.
Given function:
f(x)= -6 sin(7/3 x+ 1/6) -5
The function will be maximum at the 7/3 x +1/6= 3π/2
So, the maximum temperature will be
= -6 sin (3π/2) -5
= 6 -5
= 1 F
The function will be minimum at the 7/3 x +1/6= π/2
Therefore, the maximum temperature will be
= -6 sin (π/2) - 5
= -6 -5
= -11 F
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What is the value of the expression below?
27−−√3
A
3
B
9
C
24
D
81
Answer:
I don't see a correct answer. See below.
Step-by-step explanation:
Thanks for clarifying the question. But if 27√3 is the correct expression, I don't see an answer option that fits.
√3 = 1.732
27*(1.732) = 46.77
But all the answer options are whole numbers. The presence of√3 makes it difficult to find an expression that would result in a whole number. Expressions such as:
27/√9 = 9, or
√27/√3 = 3
would be more consistent with producing a whole number result.
I hope this helps.
