2. Translate "the sum of 6 and the product of 8 and x into a mathematical expression
Answers
Answer:
6+8x
Step-by-step explanation:
Related Questions
when using the some rule ,we only use two of the equal ratios at one time.That is we work with pairs of _____ sides and angle?
Answers
When applying the some rule, we only combine two equal ratios at once. Consequently, we deal with pairs of sides and angles that have equivalent ratios.
Which set of ratios form a proportion?When two ratios are equal, a percentage is formed; alternatively, two equal ratios can be said to produce a proportion. When we understand that two ratios are equal, you can write a proportion. The ratios of these two numbers are equal.
When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant. Two angles are said to be complimentary if their sum is 90 degrees. Alternatively put, two angles are said to be complimentary if they combine to make a right angle.
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Write an equation for the description . The length of a rectangle is twice its width . The perimeter of the rectangle is 122 feet.
Answers
Answer:
122 = 2(2w +w)
Step-by-step explanation:
If we let w represent the width of the rectangle, then 2w is the length of it. The perimeter is twice the sum of length and width.
P = 2(L+W)
122 = 2(2w +w) . . . . an equation for the description
The graph shows a function of the form () = ab
.
Use the drop-down menus to complete the statements about the function, and then write an equation that represents this function.
Answers
Answer:
When \(x=0\), the value of f(x) is 1.
Each time x increases by 1, f(x) is multiplied by 4.
Equation of function: \(f(x)=1\cdot 4^x\)
Step-by-step explanation:
The detailed explanation is attached below.
NO LINKS!! URGENT HELP PLEASE!!!
Please help me with Growth rate and Initial Value only
Answers
Answer:
growth rate: 4
y-value: 19
equation: y=4x+19
Step-by-step explanation:
Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.
For the question:
The change in y-values is 11-7=4,
and the change in x-values is +1.
Therefore, the growth rate is 4.
\(\hrulefill\)
Initial Value: The initial value of a linear function is the value of the function when x is 0.
In this case, the initial value is 19.
This can be found by looking at the y-value of the point where x is 0.
In this case, the y-value is 19.
\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.
Using the table you provided, we can find the slope by using two points on the line.
Let’s use (-3, 7) and (1, 23).
The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4
Now,
Taking 1 point (-3,7) and slope 4.
we can find the equation by using formula:
y-y1=m(x-x1)
y-7=4(x+3)
y=4x+12+7
y=4x+19
Therefore, the equation of the given table is y=4x+19\(\hrulefill\)
Answer:
Growth rate: 4
Initial value: 19
Equation: y = 4x + 19
Step-by-step explanation:
The slope of a linear function represents its growth rate.
Therefore, the growth rate of a linear function can be found using the slope formula.
Substitute two (x, y) points from the table into the slope formula, and solve for m. Substituting points (0, 19) and (1, 23):
\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)
Therefore, the growth rate of the linear function is 4.
The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.
From inspection of the given table, y = 19 when x = 0.
Therefore, the initial value of the linear function is 19.
To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.
As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:
\(\boxed{y=4x+19}\)
and produced to meet QS at X. Prove that QX SX. २) चित्रमा दुईओटा वृत्तहरू P र Q मा काटिएका छन् । सानो वृत्तको केन्द्रबिन्दु ठूलो वृत्तको परिधिमा पर्दछ र RO लाई जोडेर लम्ब्याउँदा QS को X मा भेट हुन्छ । RQ= RS हुन्छ भनी प्रमाणित गर्नुहोस् । In the figure, two circles intersect at P and Q. O is the centre of the smaller circle which lies on the circumference of the larger circle and RO is joined and produced to meet QS at X. Prove that RQ = RS. R P ● IS X
Answers
Answer:
In order to prove that RQ = RS, we need to consider the properties of a circle. Firstly, we know that the radius (RQ) of a circle is equal to its circumference (RS), and the circumference of a circle is related to its diameter by the formula 2πr = C, where r is the radius and C is the circumference.
Therefore, since QS is a diameter of the larger circle and RO is the radius of the smaller one, we can use the formula to calculate the circumference of the larger circle using the radius of the smaller one. If we substitute r with RO and C with QS, we get: 2πRO = QS. We can then simplify this to get RQ = RS.
Give me one example of an item where you would need to find the area of a square. Also, Give me one example of an item where you would need to find the area of a rectangle.
Answers
An example of an item where you would need to find the area of a square is a square table.
An example of an item where you would need to find the area of a rectangle is a phone that has a rectangular shape.
How to calculate the area?It's important to note that the area of a square is the multiplication of its sides by itself. For example, if the side is 4cm, the area will be:
= 4²
= 4 × 4.
= 16cm²
The area of a rectangle will be:
= Length × Width
Assuming length and width are 5cm and 2cm. This will be:
= 5 × 2
= 10cm²
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If x = 8 units, y = 5 units, and h = 3 units, then what is the area of the parallelogram shown above?
Answers
Answer:
Area of Parallelogram Using Diagonals ; Using Base and Height, A = b × h ; Using Trigonometry, A = ab sin (x) ; Using Diagonals, A = ½ × d1 × d2 .....
Using Diagonals: A = ½ × d1 × d2 sin (y)
Using Base and Height: A = b × h
Using Trigonometry: A = ab sin (x)
Which algebraic expression represents "the apples were divided equally into seven boxes"?
7+ a
С 7а
7
a
Answers
Answer:7+a
Step-by-step explanation:multiply 7 by a
Answer:
a/7 yw :)
Step-by-step explanation:
If f (x)=2x^2+5 square root x-2
Answers
The value of f(2) in the given algebraic expression is: 18
How to solve the Algebraic Expression?The algebraic expression we are given is expressed as:
f(x) = 2x² + 5√(x + 2)
Now, we want to find f(2) which means we want to find the range when the domain is x = 2. Therefore we solve it as:
f(2) = 2(2)² + 5√(2 + 2)
f(2) = (2 * 4) + 5√4
f(2) = 8 + 5√4
f(2) = 8 + (5 * 2)
f(2) = 8 + 10
f(2) = 18
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Complete Question is:
If f(x) = 2(x)^2 + 5 square root (x+2), complete the following statement f(2) = ______
Use the unit circle to find the value of sin (-90)
Answers
The value of Sin(90) is equal to 1.
What are trigonometric functions?In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.
Given here: Sin(90) and to find the value using the unit circle
Rotate ‘r’ anticlockwise to form a 90° angle with the positive x-axis.
The sin of 90 degrees equals the y-coordinate(1) of the point of intersection (0, 1) of unit circle and r.
The value of sin 90 degrees can be calculated by constructing an angle of 90° with the x-axis, and then finding the coordinates of the corresponding point (0, 1) on the unit circle. The value of sin 90° is equal to the y-coordinate (1). ∴ sin 90° = 1.
Hence, Sin (90) is equal to 1.
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algebra what is 6a6 over 2a2=
Answers
Answer:
3a^4
Step-by-step explanation:
Simplify the expression.
Use algebraic methods to find as many intersection points of the following curves as possible. Use graphical methods to identify the remaining intersection points. R = 6 sin theta and r = 6 cos theta the intersection point(s) is/are_______
(Type an ordered pair. Type exact answer for each coordinate, using phi as needed. Type the coordinate for theta in radians between 0 and phi. Use a comma to separate answers as needed)
Answers
The intersection points are (6, 6) and (-6, -6).
What is Intersection points?
The point at which two lines or curves intersect is referred to as the point of intersection. The point at which two curves intersect is crucial because it is the point at which the two curves take on the same value.
The given curves are the polar equations of two circles with radii 6. To find their intersection points, we can set the two equations equal to each other and solve for Ф.
6 sin(Ф) = 6 cos(Ф)
Dividing both sides by 6 and rearranging terms, we get:
tan(Ф) = 1
This equation has infinitely many solutions, but we are only interested in those that lie in the interval [0, π/2].
Ф = π/4 satisfies this condition and corresponds to the point (6, 6) in Cartesian coordinates.
Since the two curves are circles, they are symmetrical about the origin. Therefore, we can deduce that the other intersection point is (-6, -6).
Therefore, the intersection points are (6, 6) and (-6, -6).
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Points and Brainliest Giveaway!
What is the simplified form?
(2x^2 + 3x) + (4x^2 -7)
Answers
Answer:
Explanation:
We can factor the numerator and denominator as;
(
x
−
2
)
(
x
−
1
)
2
x
(
x
−
1
)
We can now cancel common term in the numerator and denominator:
(
x
−
2
)
(
x
−
1
)
2
x
(
x
−
1
)
⇒
x
−
2
2
x
However, we cannot divide by
0
so we must exclude:
2
x
=
0
⇒
x
=
0
and
x
−
1
=
0
⇒
x
1
x
2
−
3
x
+
2
2
x
2
−
2
x
=
x
−
2
2
x
Where:
x
≠
0
and
x
≠
1
Or
x
2
−
3
x
+
2
2
x
2
−
2
x
=
x
2
x
−
2
2
x
=
1
2
−
1
x
Where:
x
≠
0
and
x
≠
1
Step-by-step explanation:
Answer:
\((2x^2+3x)+(4x^2-7)\) =
\(6x^2+3x-7\)
Make clothes as a fish tank the that is 25 inches long 12 inches wide and 15 in deep what volume of the water can the tank hold
Answers
The tank having shape of a rectangular prism, the volume of tank will be
4,500 inches³.
What exactly is a prism?
A prism is a three-dimensional geometric object that has a pair of identical, parallel polygonal bases and flat, parallelogram-shaped sides connecting them. The most common type of prism is a rectangular prism, which has two rectangular bases and four rectangular sides.
Prisms are classified based on the shape of their bases. For example, if the bases of a prism are triangles, it is called a triangular prism, if the bases are pentagons, it is called a pentagonal prism, and so on.
Now,
To calculate the volume of water that the tank can hold, we need to use the formula for the volume of a rectangular prism:
Volume = Length x Width x Height
Plugging in the values given:
Volume = 25 inches x 12 inches x 15 inches
Volume = 4,500 cubic inches
Therefore,
the tank can hold 4,500 inches³ of water.
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Measures of center and variation can be used to describe data sets. Choose ALL statements about these measures that are true.
Answers
Measures of center describe the middle or typical value of a data set, while measures of variation describe how spread out the data is; the mean is a measure of center, the range is a measure of variation, and the median is also a measure of center.
What are measures of center and variation and how are they used to describe a data set?
The following statements are true:
The mean, or average is a measure of center.Variability measures describe how the values of a data set vary.Measures of Center use a single number to characterise all values in a data set.The following statement is false:
A data set's range is a measure of its centre. The range, not the center, is a measure of variability.The following statement is ambiguous or incorrect:
A data set's median is a measure of variability. The median measures centre rather than variability.The question is incomplete; the full question is provided below -
Data sets can be described using measures of centre and variance.
Choose ALL truthful statements about these measurements.
A data set's range is a measure of its centre. The range, not the center, is a measure of variability.A data set's median is a measure of variability. Variability measures describe how the values of a data set vary.Measures of Center use a single number to characterise all values in a data set.To learn more about data set, visit: https://brainly.com/question/1673884
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would adam snitch agree that gross domestic product is the best way to measure
Answers
GDP measures our ability to obtain many of the inputs into a worthwhile existence but does not directly measure the things that make life valuable.
What is meant by GDP?GDP accounts for both total income and total expenditure on goods and services in the economy. Thus, GDP per person tells us about the average person's income and expenditure in the economy. Because most people would prefer to have a higher income and spend more money, The average person's GDP per person appears to be a straightforward indicator of their financial security.
People want to know whether an economy's total output of goods and services is increasing or decreasing. However, because GDP is collected at current, or nominal, prices, it is impossible to compare two periods without accounting for inflation.
To calculate "real" GDP, the nominal value must be adjusted to account for price changes, allowing us to see whether the value of output has increased because more is produced or simply because prices have risen.
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Solve the polynomial equation = 3
Answers
Answer:
lol the is no equation there to solve
If log₂(4x + 6) = 4, then x = ____
You may enter the exact value or round to 4 decimal places.
Answers
Answer: -1/2
Step-by-step explanation: To solve this problem, we can use the properties of logarithms to isolate the variable x on one side of the equation. The properties of logarithms tell us that the logarithm of a product is the sum of the logarithms of the factors, and that the logarithm of a power is the exponent times the logarithm of the base.
If log₂(4x + 6) = 4, we can rewrite the left side of the equation as follows: log₂(4x + 6) = log₂(2^4 * (2x + 3))
Then, using the property of logarithms that the logarithm of a product is the sum of the logarithms of the factors, we can simplify the equation as follows: log₂(4x + 6) = 4 + log₂(2x + 3)
Now, we can use the property of logarithms that the logarithm of a power is the exponent times the logarithm of the base to simplify the equation even further: log₂(4x + 6) = 4 + 1 * log₂(2x + 3)
Since the logarithm of a power is the exponent times the logarithm of the base, this means that the logarithm of a number is the logarithm of that number divided by the logarithm of the base. Therefore, we can divide both sides of the equation by log₂ to isolate the variable x on one side of the equation:
log₂(4x + 6) / log₂ = 4 + 1 * log₂(2x + 3) / log₂
(4x + 6) / 1 = 4 + (2x + 3) / 1
4x + 6 = 4 + 2x + 3
4x + 6 = 2x + 7
2x = -1
x = -1/2
Therefore, if log₂(4x + 6) = 4, then x = -1/2.
A.
Lydia is making bracelets. She has already made 14 and plans to
make 3 more each day. How long will it take Lydia to make 86
bracelets?
Answers
+ number of bracelets she haven’t made: 86-14=72
+ days it take to Finnish: 72/3=24
So, she needs 24 days to make 86 bracelets
If 82 pages had between 7 and 9 errors, what was the approximate total number of pages in the book?
A: 202 pages
B: 120 pages
C: 68 pages
D: 56 pages
Answers
Answer:
120 pages
Step-by-step explanation:
The mean number of error per page = 8 ; Standard deviation = 1
Given that :
82 pages has between 7 and 9 errors per page ;
Using the empirical rule :
7 = 8 - 1 = 1 standard deviation below the mean
9 = 8 + 1 = 1 standard deviation above the mean
1 standard deviation from the mean = 68%
Hence, 82 pages = 68%
Approximate total pages :
68% = 82
100% = total pages, x
0.68 = 82
1 = x
0.68x = 82
x = 82 / 0.68
x = 120.588
Hence, total number of pages is 120 pages
Convert 41 divided by 2 day.
to an
hour
Answers
41/2 days is equivalent tο 492 hοurs.
What is divisiοn?Divisiοn is an arithmetic οperatiοn that invοlves splitting a quantity intο equal parts οr determining hοw many times οne quantity is cοntained within anοther. It is cοmmοnly denοted by the symbοl ÷ οr /, and can be written as a fractiοn οr as a ratiο.
We knοw that there are 24 hοurs in day therefοre,
Tο cοnvert 41/2 days tο hοurs, we can use the fact that there are 24 hοurs in οne day:
41/2 days x 24 hοurs/day = 41 x 12 = 492 hοurs
Therefοre, 41/2 days is equal tο 492 hοurs.
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Explain how to draw a line segments that measures 2 7/16 inches.
Answers
The line segment which represents 2 7/16 inches should first be drawn with the use of a ruler.
What is a Ruler?This is referred to an instrument which is used to measure distances between points or draw straight lines and also usually graduated in inches.
On the inches graduation, the zero mark should be located and the 1/16 inch which is found before the half-inch mark between 2 and 3 inches. When this is done, a line should be drawn to meet both points which will therefore measure 2 7/16 inches long.
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Which of the following sentences show correct verb tense usage? Check all that apply. When the facilitator announced a bathroom break, the seminar participants took out their iPhones and begun checking their messages a The overall outlook is favorable, so I wrote to the board chair to inform him. She has wrote him an e-mail
Answers
The sentence which show correct verb tense usage is The overall outlook is favorable.
Verbs are a necessary component of communication in every language, including English, without which it would be difficult to convey what the subject is doing. All acts, including those motivated by sentiments and emotions, are included.
Verbs exist in a variety of forms and kinds so they can function in many ways to convey the whole meaning. Let's have a look at how different dictionaries define the word "verb" before we examine the many kinds of verbs and their forms.
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if joey trap has 2 million views and you go check him out how many views will he have no really go check him out 100 points just go look him up its not a joke
Answers
Answer:
lol done
Step-by-step explanation:
plsss hurry Solve the application problem. Find the perimeter of a pantry shelf that measures 3 yards by 5/8 yard.
A. 1 7/8 yd
B. 7 1/4 yd^2
C. 1 7/8 yd^2
D. 7 1/4 yd
Answers
Does (2, 3) make the inequality 2x + 5y < 20 true?
yes
no
Answers
Answer:
Yes
Step-by-step explanation:
The left side 19 is less than the right side 20 , which means that the given statement is always true.
Which of the following is the graph of (g-f)(x)?
Answers
The graph (g-f)(x)=-4x complies with the query.
Graph example: What is it?An edge denotes the connection between the x and y vertices and is represented by the pair (x ,y). In the examples that follow, circles stand in for vertices and lines for edges.
The graph indicates that line generated by function f(x) passes through the points (1,-3) and (0,0) and that line similarly passes through the points (1,1) and (0,0).
With the use of the formula Y-Y1 = y2-y1/x2-x1, we can thus determine the equation of the lines (x-x2)
Therefore, the equation of the line produced by the function f(x) y+3= 3-0/0-1 (x-1)
Function f(x) Equals 3x since y+3=-3x+3 y=-3x.
the line drawn by the function g(x) has the equation y=x, hence function g(x)=x.
We now need to figure out, (g-f) (x) = g(x)- f(x) = -3x-x = -4x
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16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Answers
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
Use power series operations to find the Taylor series at x = 0 for the following function. xsin(Злх/2). The Taylor series for sin x is a commonly known series. What is the Taylor series at x = 0 for sin x? Use power series operations and the Taylor series at x = 0 for sin x to find the Taylor series at x = 0 for the given function.
Answers
The taylor series as per the power series operation is sin(x) = 0 + 1x + 0x + −1/3!+3 + 0x
given,
f(x) = sinx
c = 3pi/4
the required series will be .
f(x) = f(c) + f' (c)( x-c ) + f''(c)/2! + .... f x n(c)/n! (x-c)^n
f(c) = sin(c)
= sin(3pi/4)
= 1/2
on solving the equation becomes,
sin(x) = 0 + 1x + 0x + −1/3!+3 + 0x
Assume that f(x) is a real or composite function and that it is a differentiable function of a real or composite neighbourhood number. The following power series is then described by the Taylor series.
The Taylor series can be expressed using sigma notation, where f(n)(a) = nth derivative of f n! = factorial of n.
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A. √5/3
B. 3√14/14
C. 3√5/5
D. 2√14
Help Plz
Answers
Answer:
This is a pretest, which is so you know what you don't know
so you shouldn't do this
Step-by-step explanation:
but just a hint, what is tangent?