The linear function that represents the situation where is expressed as: y = 5/8x + 11.
What is a Linear Function?Given a relation that has initial value as b and m as the unit rate, a linear function that represents the relation is expressed as: y = mx + b.
Given:
Unit rate = m = 5/8Initial value = b = 11Substitute the values into y = mx + b.
y = 5/8x + 11
Thus, the linear function that represents the situation where is expressed as: y = 5/8x + 11.
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1
A rectangular sheet of wood is cut to make a box of a length of 22 mm, width of 13 mm and a volume of 8294 mm cubed. What is the height of the box?
A. 29 mm
B. 31 mm
C. 27 m
D. 28 m
Answer:
A
Step-by-step explanation:
8294/286
An arithmetic sequence is represented by the recursive formula
a1=13
a^n=a^n−1 −7 .
What is the fifth term in the sequence?
a5=−8
a5=−15
a5=−22
a5=−35
The fifth term of the sequence is -15
Recursive functionsGiven the following recursive functions
[tex]a_1=13\\a^n=a^{n-1}- 7 .[/tex]
For the second term:
a2 = a1 - 7
a2 = 13 - 7
a2 = 6
For the third term:
a3 = a2 - 7
a3 = 6 - 7
a3 = -1
For the fourth term:
a4 = a3 - 7
a4 = -1 - 7
a4 = -8
For the fifth term:
a5 = a4 - 7
a5 = -8 - 7
a5 = -15
Hence the fifth term of the sequence is -15
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Do the ones you can please
Halp me
Discuss the important features of the box-and-whiskers plot.
Answer:
As shown, a box-and-whisker plot is a way of summarizing a set of data measured on an interval scale. This type of graph is used to show the shape of the distribution, its central value, and its variability.
Explanation:
100% When I put this in
You are wanting a new pair of shoes. The shoes
cost $70 BEFORE taxes. The sales tax on these
shoes is 8%. How much money are these shoes
going to cost?
Step-by-step explanation:
$70*8% ≈ 56
so, 70 - 56 = i14
ihopethishelps
You had an emergency at hôme and you called the police at 11:47 p.m. They
arrived at your house at 12:07 a.m. How long did it take them to get to your
house.
Answer:
20 mins
Step-by-step explanation:
The answer is 20 minutes. If you look at the times it's 11:47 and 12:07. Notice the times end in 7. You would add ten minutes until you get the time, and in the end you have 20 mins.
Hope this helps!
can anyone tell me the factor tree of 84 need fast plssss...
Answer:
84
2 42
2 21
3 7
Step-by-step explanation:
It has total 12 factors of which 84 is the biggest factor and the prime factors of 84 are 2, 3 and 7. The Prime Factorization of 84 is 2^2 × 3 × 7
Answer:
in attachment
Step-by-step explanation:
If sin 64° = p, determine the value of the following in terms of p.
8 sin 16º.cos 16º.cos32°
We are provided that [tex]{\sf \sin (64^{\circ})=p}[/tex] and we have to find the value of [tex]{\sf 8\sin (16^{\circ})\cdot \cos (16^{\circ})\cdot \cos (32^{\circ})}[/tex] . But let's recall a identity which is gonna be very helpful to do this question i.e
[tex]{\boxed{\sf 2\sin (\theta)\cos (\theta)=\sin (2\theta)}}[/tex]Now , coming back on the question ;
[tex]{:\implies \quad \sf 8\sin (16^{\circ})\cdot \cos (16^{\circ})\cdot \cos (32^{\circ})}[/tex]
[tex]{:\implies \quad \sf 4\{ 2\sin (16^{\circ})\cos (16^{\circ})\}\cos (32^{\circ})}[/tex]
Using the above identity ;
[tex]{:\implies \quad \sf 4\sin (32^{\circ})\cos (32^{\circ})}[/tex]
[tex]{:\implies \quad \sf 2\{2\sin (32^{\circ})\cos (32^{\circ})\}}[/tex]
Again using the same identity ;
[tex]{:\implies \quad \sf 2\sin (64^{\circ})}[/tex]
Putting the given value of [tex]{\sf \sin (64^{\circ})}[/tex]
[tex]{:\implies \quad \sf 2p}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{8\sin (16^{\circ})\cdot \cos (16^{\circ})\cdot \cos (32^{\circ})=2p}}}[/tex]
Proof of the above identity :-
We know that ;
[tex]{\quad \boxed{\sf \sin (A\pm B)=\sin (A)\cos (B)\pm \cos (A)\sin (B)}}[/tex]
So ;
[tex]{:\implies \quad \sf \sin (A+ B)=\sin (A)\cos (B)+\cos (A)\sin (B)}[/tex]
Putting [tex]{\sf A=B=\theta}[/tex] ,
[tex]{:\implies \quad \sf \sin (\theta+ \theta)=\sin (\theta)\cos (\theta)+\cos (\theta)\sin (\theta)}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{\sin (2\theta)=2\sin (\theta)\cos (\theta)}}}[/tex]
Hence , Proved :D
jesse is putting a ribbon around a square frame. He uses 24 inches of ribbon. How long is each side of the frame
What do I write! :3 :3 :3
Answer:
10 1/3
Step-by-step explanation:
you ar esupposed to add the fractions first.if the fraction is improper(4/3), another number is added to the whole number.finally you ad the whole numbers to get your answer
hope it helps:)
Answer:
Answer: 10 1/3
Jonathan first got the steps right, however, he was incorrect because he added the denominators together. Since the two denominators are the same, the sum will also have a denominator of 3, not 6. In his other steps, he was correct; 7 + 2 = 9, 2 + 2 = 4. Thus, making 9 4/3 or 10 1/3.
Step-by-step explanation:
f(x) = x2. What is g(x)?
g(x)
-(1,4)
f(x)
-5
5
O A. g(x)
g(x)=(x)
-
O B. g(x) = (2x)
C. g(x) = (4x)
O D. g(x) = 2x²
(x=
Answer:
B. g(x) = (2x)^2
Step-by-step explanation:
See attached image.
The graph of the function g ( x ) = ( 2x )² is plotted
What is Equation of Graph of Polynomials?Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Identify the even and odd multiplicities of the polynomial functions' zeros.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities
Given data ,
Let the parent function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = x²
Now , the graph of the function is g ( x )
where g ( x ) = 4x²
And , the point P ( 1 , 4 ) lies on the graph
when x = 1
g ( 1 ) = 4
Hence , the graph is plotted and g ( x ) = 4x²
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Given the polynomial 8x3 6x2 − 32x − 24, what is the value of the constant 'k' in the factored form? 8x3 6x2 − 32x − 24 = 2(x k)(x − k)(4x 3) 4 3 2 1.
Constant 'k' has the value in the form of factored after factorization, the provided polynomial equation is 2.
What is polynomial equation?Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).
The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.
The given polynomial equation in the problem is,
[tex]8x^3 +6x^2 - 32x - 24[/tex]
The factor of the polynomial equation are given as,
[tex]2(x+ k)(x - k)(4x +3)[/tex]
First find out the factors to compare and find the value of k.The above equation has the unknown variable x and the highest power of this unknown variable is 3.
Take out the highest common factor 2, which can divide each term of the above equation (8, 6, -32, -24). Thus,
[tex]2(x+ k)(x - k)(4x +3)=2(4x^3 +3x^2 - 16x - 12)[/tex]
Take out the highest common factor to make the groups as,
[tex]2(x+ k)(x - k)(4x +3)=2(x^2(4x +3) - 4(4x + 3))\\2(x+ k)(x - k)(4x +3)=2(4x +3) (x^2 -4)\\2(x+ k)(x - k)(4x +3)=2(4x +3) (x^2 -2^2)[/tex]
Use the property of difference of the square for the (x²-2²) term as,
[tex]2(x+ k)(x - k)(4x +3)=2(4x +3) (x +2)(x-2)\\2(x+ k)(x - k)(4x +3)=2(x +2)(x-2)(4x +3)[/tex]
On comparing the two equation, we get the value of k as 3. Thus, the value of the constant 'k' in the factored form factorization the provided polynomial equation is 2.
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Answer:
C
Step-by-step explanation:
I need help with number 6 please provide a screenshot of the Desmos and any work on paper
Answer:
See below
Step-by-step explanation:
Graphing all three equations can be done on one DESMOS plot, but it gets very busy and cluttered. The attached image demonstrates an approach that simplifies the graph.
Enter the three equations and three inequalities separately into six DESMOS input boxes. Then I clicked off the color circles of the ones I didn't want to see, leaving only two visible at one time. Each pair represents one line of the function and limit for that function. Then find the intersection point for the values indicated in the second half of the equation.
One can also calculate the answers:
a) (-21,442)
b) (-4,-1)
c) (18,15.5)
d) (20,17)
Kaylee has 1 red, 3 blue, 2 brown, 1 purple, and 4 pairs of pink flip flops in her closet. Assuming she always replaces them, what is the probability that she will choose a blue pair on Monday and a pink pair on Tuesday? (Compound Probability)
Answer
she has a 3 out of 11 percent chance aka 3/11
Step-by-step explanation:
There is 1 red meaning there is less of a chance to get that one unless she is lucky same goes with purple! She has 2 brown flip flops so there is more of a chance she may get that one, but 4 pairs of pink flip flops meaning she is more likely to pick pink on Tuesday then Monday. but the answer can be 3/7 if I do not count the others flip flops... but hopefully this helps...
urgent fastttttttttttttttttttttttttttt 50 points
Answer:
Design 1: $449.45
Design 2: $522.60
Design 3: $318.25
Design 3 as it's the cheapest
Step-by-step explanation:
Design 1
Area of a trapezoid = 1/2(a + b)h (where a and b are the bases and h is the height)
Given the slanted side = 3.5
Height = √(3.5² - 1²) = (3√5)/2
⇒ area of design 1 = 1/2(5 + 3) × (3√5)/2 = 6√5 = 13.42 m²
⇒ cost = 13.42 x 33.5 = $449.45
Design 2
Area of a triangle = 1/2 x base x height
Area of a rectangle = width x length
Area of a 6-sided regular polygon = 4 triangles + rectangle
⇒ area of design 2 = 4(1/2 × 1.4 × 2.0) + (2.5 × 4) = 15.6 m²
⇒ cost = 15.6 x 33.5 = $522.60
Design 3
Area of a trapezoid = 1/2(a + b)h (where a and b are the bases and h is the height)
⇒ area of design 3 = 1/2(3 + 2) × 2 + 1/2(3 + 1.5) × 2 = 9.5 m²
⇒ cost = 9.5 x 33.5 = $318.25
Question 5 of 10
f(x) = x +4
g(x) = 3x^2 – 7
-
Find (f • g)(x).
Answer:
well the answer is
.....,...........................................................................
Answer:
77.8
Step-by-step explanation:
In terms of theorems, no I cannot recall right now. the angle opposite of the side in this case C is 77.8
if you were to find both angles on a straight line it's be 180. basically really easy to find all angles
Find the specified vector 2v - 6w . Given v = 3i - 5j , w = - i + 4j ,
Answer:
Your question is unclear as to which product you're looking for, the dot product or the cross product, so I'll answer for both.
The i and j notations for vectors refer to their coordinates, e.g. a vector that is 2i+3j is one that moves 2 units in the x-direction and 3 units in the y-direction. This can also be notated as (2, 3), and that's the notation I'll be using in this answer to keep things simple.
In order to get either product, we have to do the subtraction in parentheses first:3v - 4w = 3 * (2, -2) - 4 * (0, -2). When multiplying a vector by a scalar number, you just multiply the coordinates by the scalar, so this becomes (6, -6) - (0, -8). Performing this subtraction by subtracting corresponding coordinates, we get 3v - 4w) = (6, 2). Also, 5u = 5 * (-3, 2) = (-15, 10).
Now, the dot product of two vectors is a scalar quantity. The dot product of the two vectors (-15, 10) • (6, 2) is the sum of the products of the corresponding coordinates. This is -15 * 6 + 10 * 2, which is -90 + 20, and that is -70.
Step-by-step explanation:
how do you write ababaabaa in exponential form?
Answer:
[tex]\huge\boxed{a^6b^3}[/tex]
Step-by-step explanation:
Because every term here is multiplied, simply count the number of 'a's and 'b's.
Hope it helps :) and let me know if you want me to elaborate.
The graph of the equation y = m^x passes through the point
A) (1, m) B) (0, m) C) (m, 0) D) (m, 1)
The graph of the equation y = m^x passes through the point (1, m)
Equation of a graphGiven the equation of a graph expressed as y = m^x
We need to determine the coordinate point that lies on this graph.
If x = 1, substitute into the formula to have:
y =m^1
y = m
Hence the required coordinate will be (1, m)
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A survey asked about the number of people who eat breakfast almost every day (B) and the number of people who buy cereal at least once a month (C). The results of the survey are shown in the Venn diagram. Circles B and C overlap. Circle B contains 11, circle C contains 4, and the intersection contains 53. Number 23 is outside of the circles. Given that a randomly chosen person eats breakfast almost everyday, what is the probability that the person also buys cereal at least once a month? StartFraction 11 Over 64 EndFraction StartFraction 11 Over 53 EndFraction StartFraction 53 Over 64 EndFraction StartFraction 53 Over 57 EndFraction.
The probability that the person also buys cereal at least once a month, given that a randomly chosen person eats breakfast almost every day is 53/64
What is random sample?Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.
A survey asked about the number of people who eat breakfast almost every day (B) and the number of people who buy cereal at least once a month (C).
The results of the survey are shown in the Venn diagram as,
Circles B and C overlap. Circle B contains 11, circle C contains 4, and the intersection contains 53. Number 23 is outside of the circles.Therefore, for circle B, it can be given as,
[tex]n(B)=11+53=64[/tex]
Similarly, for the circle C,
[tex]n(C)=53+4=57[/tex]
As the intersection of circle B and C contains 53,
[tex]n(BC)=53[/tex]
Now the probability that the person also buys cereal at least once a month, given that a randomly chosen person eats breakfast almost every day,
[tex]P(C|B)=\dfrac{P(BC)}{P(B)}\\P(C|B)=\dfrac{n(BC)}{n(B)}\\P(C|B)=\dfrac{53}{64}[/tex]
Hence, the probability that the person also buys cereal at least once a month, given that a randomly chosen person eats breakfast almost every day is 53/64
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Answer:
C or 53/64
Step-by-step explanation:
Ed2022
7. If the willingness-to-pay distribution of a product is a negative exponential distribution with parameter λ, what is the price-response function associated with it?.
It can be deduced that the price-response function associated with the situation will be P = MWTP = -e⁻ λ.
What is a function?
A function, in mathematics, is a relationship that exists between one variable that is, the independent variable and the dependent variable.
When the willingness-to-pay distribution of a product is a negative exponential distribution with parameter λ, the price-response function associated with it will be:
dWTP/dλ = -e⁻ λ
P = MWTP = -e⁻ λ
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Find the probability of picking a green or orange marble from a bag
containing 5 green, 3 yellow, and 5 orange marbles.
Answer:
76.92%
Step-by-step explanation:
Green: 5
Orange: 5
Yellow: 3
First: 5 + 5 + 3 = 13
Now we need to find the probablility of picking an orange or green marble.
We need to divide the number of green and orange marbles put together by the total, 13.
10/13 = 76.92%
You have a 76.92% chance of picking either a green or orange marble.
Have an amazing day!!
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A cylinder has a base diameter of 4 inches and a height of 4 inches. What is its volume in cubic inches, to the nearest tenths place?
Answer:
V=πr2h=π·22·4≈50.26548
Step-by-step explanation:
the first step is to get a radius that is 1/2 of diameter. So 4/2=2, r=2
then pi x 2^2 x 4 which gets you 50.265 or 20.27 if you round it
A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 54. What is the volume of the dilated prism? Enter your answer, as a decimal, in the box. Cm³.
The volume of the dilated prism is calculated to be considering scale factor for the area as well as the height is 7558272 cm³.
What is the dilation or scale factor?The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object).
Given that
The base area of prism = 8 cm²
Height of the prism = 6
Scale factor = 54
So enlarged area =( scale factor )² * previous area = 54²* 8 = 23328 cm²
Enlarged height = 54*6= 324 cm
Enlarged volume = enlarged area* enlarged height = 7558272 cm³
Thus, the volume of the dilated prism is 7558272 cm³.
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The circumference of a circular field is 207.24 yards. What is the diameter of the field? Use 3.14 for π and do not round your answer.
Answer:
d= 66
Step-by-step explanation:
1- Calculate diameter of the circle
PLS HELP !!!!!!! its on two column proof. will give brainlylist
Answer:
Step-by-step explanation:
please help I am really stuck on this one!! I would like an explanation with the answer please so I can learn how to do it from now on!!
ANSWER:
x° = 24°
y° = 72°
Analysis on picture hope it helps
Which statements are true about the graph of –6. 5 < x? Check all that apply. There is an open circle on –6. 5. There is an open circle on 6. 5. There is a closed circle on –6. 5. The graph includes the point 6. 5. The arrow points to the left. The arrow points to the right.
There is an open circle on –6. 5 and the arrow points to the right. The correct options are A and E.
What is inequality?Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as we will as is used to compare two statements.
The given expression is [tex]\rm x > -6.5[/tex].
It means the value of x is more than -6.5.
Since the sign of equality is not there in the equation then at -6.5 will be an open circle. And the arrow points to the right.
The graph is shown below.
More about the inequality link is given below.
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Please help me please
Answer:
(C)(C)(D)(B)(C)(A)Step-by-step explanation:
Hope it helps!!!
