Answer:
y=5.5x+8
Step-by-step explanation:
Replace x and y values so you get 19=5.5(2)+cMultiply 5.5 by 2 to get 19=11+cSubtract 11 from both sides to get 8=cSimplify to y=5.5x+8the table shows the workout results for for joggers complete the table to order the joggers from the slowest to the fastest rate
For Wesley:
distance = 7.7miles, time = 3.5h
[tex]\text{Rate (Wesley) = }\frac{7.7}{3.5}=2.2\text{ miles / hour}[/tex]For Xavier:
distance = 3.5 miles, time = 1.25h
[tex]\text{ Rate (}Xavier)\text{ = }\frac{3.5}{1.25}=2.8\text{ miles / hour}[/tex]For Yvette:
distance = 4.224 miles, time = 1.76h
[tex]\text{ Rate (}Yvette)\text{ = }\frac{4.224}{1.76}=2.4\text{ miles / hour}[/tex]For Zubin:
distance = 5.175 miles, time = 2.25h
[tex]\text{Rate (Zubin) = }\frac{5.175}{2.25}=2.3\text{ miles / hour}[/tex]Therefore, the complete table is as given below
write the decimal for the given words:forty-one ten-thousandths
1) Since we know the decimal places, then we can write out the following number:
[tex]41.010[/tex]Note the 3 decimal places after the dot is the thousandth's place. Note that we can either write the last digit or omit it.
Which algebraic expression shows the average function points of helium, hydrogen and neon if h represents the function point of hydrogen and represents the neon point
The answer is the option C. (h + j + k)/3
Because to find the average of 3 quantities, you have to add them all and then divide the result by 3
consider the function h(x)=(1/64)(x^5+16x^3). It can be seen from the graph that h(x) is one-to-one and so has an inverse function h^-1(x). Compute the slope of each respective graph at this point.
(h^-1)'(-32)=
The numeric value of the slope of the inverse function at x = -32 is given by:
(h^-1)'(-32) = 0.03.
How to find the inverse of a function?To find the inverse of a function, we exchange x and y in the original function, then isolate y.
This means that if the original function has a point (x,y) graphed, the inverse will have point (y,x) graphed.
From it's graph, the function h(x) has these two following points:
(-4.552, -32) and (-4.555, -32.1)
Hence the inverse will have these two following points:
(-32, -4.552) and (-32.1, -4.555).
The slope is given by change in y divided by change in x, hence:
(h^-1)'(-32) = (-4.552 - (-4.555))/(-32 - (-32.1)) = 0.03.
Which is also equivalent to the derivative of the inverse function at x = -32.
More can be learned about inverse functions at https://brainly.com/question/3831584
#SPJ1
Assume that a 24-month CD purchased for $4000 pays an APY of 4.25% (and of course interest is compounded). How much do you have at maturity?
At the CD's maturity in 2 years' time, the future value that you can collect is $4,347.22.
What is the future value?The future value (FV) of CD is the present value compounded at an interest rate of 4.25% for 2 years in the future.
We can compute the future value using the FV formula or an online finance calculator as below.
N (# of periods) = 2 years (24 months)
I/Y (Interest per year) = 4.25%
PV (Present Value) = $4,000
PMT (Periodic Payment) = $0
Results:
FV = $4,347.22 ($4,000 + $347.22)
Total Interest = $347.22
Thus, the 24-month CD purchased for $4000 will yield a future value of $4,347.22 at maturity.
Learn more about future values at brainly.com/question/27979326
#SPJ1
The figure below represents of a full circle. Find the measure of the marked centralangle.10Answer: Central Angle=Submit Answerattempt 1 out of 2
ANSWER
36°
EXPLANATION
A full circle has a central angle of 360°. If this figure represents 1/10 of a full circle, then its central angle is 1/10 of the central angle of the full circle:
[tex]360\degree\cdot\frac{1}{10}=36\degree[/tex]Hence, the measure of the central angle in this figure is 36°.
The area of each square in the image below is 25 square units.
1) What is the perimeter of the figure?
2) How can you rearrange the squares (so that sides of the squares line up) to create a figure...
(a) with the same perimeter?
Answer:
1) 120 units
2) see attachment
Step-by-step explanation:
Given a figure composed of 21 squares that each have an area of 25 square units, you want to know (1) the perimeter of the figure, and (2) how to rearrange it to have the same perimeter, but with sides that line up.
(1) PerimeterThe perimeter is the sum of the lengths of the sides that form the boundary of the figure. The boundary consists of ...
6 top-side horizontal edges6 bottom-side horizontal edges6 left-side vertical edges6 right-side vertical edgesfor a total of 6·4 = 24 edges of the squares shown.
Each of the squares shown has an area of A = s² = 25 units², so a side length of s = √(25 units²) = 5 units.
The perimeter is the length of 24 of these edges, so is ...
perimeter = 24 × 5 units = 120 units
(2) RearrangementThe 21 squares shown in the figure can only be rearranged into rectangles that are 21 × 1 squares or 7 × 3 squares. These will have perimeters of 44 or 20 edges, respectively. Hence, it is not possible to have "sides of the squares line up" in a rectangle with the same perimeter.
The attached figure is the next best thing. It shows a 6 × 4 rectangle with three squares removed (to keep the total at 21). The number of horizontal and vertical edges total 24, as required to keep the same perimeter.
Rewrite the expression with a rational exponent as a radical expression.
The expression with a rational exponent as a radical expression is [tex]\sqrt[9]{3}[/tex]. Therefore, option B is the correct answer.
The given expression is [tex](3^{\frac{2}{3} } )^{\frac{1}{6} }[/tex].
What is a rational exponent?Rational exponents are exponents of numbers that are expressed as rational numbers, that is, in [tex]a^\frac{p}{q}[/tex], a is the base and p/q is the rational exponent where q ≠ 0.
Now, the given expression can be solved as follows:
Using power law [tex](a^m)^n=a^{m\times n}[/tex], we get
[tex](3^{\frac{2}{3} } )^{\frac{1}{6} }=3^{\frac{2}{3}\times \frac{1}{6}}[/tex]
[tex]=3^{\frac{1}{9} }[/tex]
The equivalent expression to [tex]=3^{\frac{1}{9} }[/tex] is [tex]\sqrt[9]{3}[/tex].
The expression with a rational exponent as a radical expression is [tex]\sqrt[9]{3}[/tex]. Therefore, option B is the correct answer.
To learn more about the rational exponent visit:
https://brainly.com/question/3009444.
#SPJ1
Through Viking Brokerage, Erin purchased $23,510 worth of stock and paid
her broker a 1% broker fee. She sold when the stock price increased to
$27,300, and used a discount broker who charged $21 per trade. Compute
her net proceeds.
The most appropriate choice for stocks and net proceeds will be given by-
Net proceeds of Erin = $3533.9
What is stock and net proceeds?
Stock
Stock is a part of share set up by the company so that people can buy.
Net proceeds
After deducting all expenses, amount recieved by the seller after selling of stocks is called net proceeds.
Worth of stocks purchased by Erin = $23510
Percentage paid to her broker = 1%
Amount paid to broker = [tex]\frac{1}{100}\times 23510[/tex]
= $235.1
Now price of stocks increased to $27300
Net profit = $(27300 - 23510)
= $3790
Net proceeds = $(3790 - 235.1 - 21)
=$3533.9
To learn more about stock and net proceeds, refer to the link:
https://brainly.com/question/1349038
#SPJ9
Use congruent triangles to find side lengths.If you were asked to draw the two congruent triangles described below, what would be each side length? ABC≈ EFGAB = 6, GF = 8, AC = 10.
ANSWER
• AB and EF
,• BC and FG
,• AC and EG
EXPLANATION
The order in which the vertices of the triangles are named gives us which sides are congruent. If ΔABC ≅ ΔEFG, then the pairs of corresponding congruent sides are,
[tex]\begin{gathered} AB\cong EF \\ BC\cong FG \\ AC\cong EG \end{gathered}[/tex](x,2) is a solution to 7x-5>y
No, becuase not all the posible values of x make the inequality true.
For example, if x = 0
7(0) - 5 > 2
0 - 5 > 2
- 5 > 2 This is not true.
11. Richard's resting heart rate is 54 beats per minute (bpm). a. How many times will his heart beat in 4 minutes? b. How long will it take to beat 855 times?
Answer: a) 216 beats b) almost 16 minutes
Step-by-step explanation:
54 beats/minute x 4 minutes = 216 beats
855 beats / 54 beats/minutes = 15.83333 minutes
Hope this helps!
Which function has the greatest average rate of change over the given interval?
Answer: C(x) > a(x) , meaning c(X) has the greatest average rate of change over the given interval.
Explanations :
• The greatest average rate of change = slope
,• given by formula :
[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex](a) For a(x),[tex]\begin{gathered} minitial\text{ = }\frac{-2+3\text{ }}{0+1\text{ }} \\ \text{ = 1/1} \\ \text{ = 1 } \end{gathered}[/tex][tex]\begin{gathered} m\text{ final = }\frac{13-6}{3-2} \\ \text{ = }7\text{ } \end{gathered}[/tex]• The average rate of change over the given interval = 7-1 = 6
(b) for b(x) , we have [tex]\begin{gathered} M\text{ initial = }\frac{3-1}{0+1} \\ \text{ = 2} \end{gathered}[/tex]and
[tex]\begin{gathered} m\text{ final = }\frac{9-7\text{ }}{3-2\text{ }} \\ \text{ = 2} \end{gathered}[/tex]• We can see that b(x) has constant average rate of change at 2 , therefore this will not be considered for this purpose of the exercise.
(c) for C(x) , we have [tex]\begin{gathered} M\text{ initial = }\frac{-1+2}{0+1} \\ \text{ = 1 } \end{gathered}[/tex]
and
[tex]\begin{gathered} m\text{ final = }\frac{13-5\text{ }}{3-2} \\ \text{ = }8\text{ } \end{gathered}[/tex]• The average rate of change over the given interval =, 8 -1 = 7
in conclusion , C(x) = 7 , whereas a(x) = 6 ,
Therfore C(x) > a(x)
Use the diagram to answer the question that follows
What is the image of c under the translation described by the translation rule (x,y) (x+11, y-8)
○ D
○ B
○ E
○ A
The image of C under the translation described by this translation rule (x, y) → (x + 11, y - 8) is: (4, -6)
What is a translation?In Geometry, the translation of a geometric figure to the right simply means adding a digit (11) to the value on the x-coordinate (x-axis) of the pre-image while translating a geometric figure down simply means subtracting a digit (8) from the value on the y-coordinate (y-axis) of the pre-image.
Note: Each point on this graph represents 2 units.
Next, we would translate the image of C 11 units to right and 8 units down. Therefore, this transformation can be modeled by this translation rule:
(x, y) → (x + 11, y - 8)
Point at C = (-7, 2) → Point at C' = (-7 + 11, 2 - 8) = (4, -6)
Read more on translation here: brainly.com/question/16486008
#SPJ1
HELPPPPPPPPPP URGENT
Which of the following methods would NOT be used to prove that two triangles are congruent?
A. Prove that the hypotenuse and one leg of one triangle are congruent to the hypotenuse and one leg of the other triangle.
B. Prove that two sides and an included angle of one triangle are congruent to two sides and an included angle of the other triangle.
C. Prove all three sets of corresponding angles congruent.
D. Prove all three sets of corresponding sides congruent.
The methods which can be used to prove that the two triangles are congruent are:
Prove all three sets of corresponding angles are congruent.
Prove all three sets of corresponding sides are congruent.
Option C and Option D are the correct answer.
What are corresponding angles?Corresponding angles are angles that occur on the same side of the transversal line and are equal in size.
We have,
To prove that two triangles are congruent, we need to show that the corresponding sides and corresponding angles are congruent.
So,
Prove all three sets of corresponding angles are congruent.
Prove all three sets of corresponding sides are congruent.
These two methods can be used to prove that the two triangles are congruent.
Thus,
The methods which can be used to prove that the two triangles are congruent are:
Prove all three sets of corresponding angles are congruent.
Prove all three sets of corresponding sides are congruent.
Option C and Option D are the correct answer.
Learn more about corresponding angles here:
https://brainly.com/question/1597341
#SPJ1
Find the quotient and remainder for the following expression using the division algorithm.
33402
The quotient of 33/402 is 0 and the remainder is 369
How to determine the quotient?
The division expression is given as
33/402
From the above expression, we have
Numerator = 33
Denominator = 402
As a general rule of quotient, when the denominator is greater than the numeration, then the quotient is 0
How to determine the remainder?The division expression is given as
33/402
From the above expression, we have
Numerator = 33
Denominator = 402
As a general rule of quotient, when the denominator is greater than the numeration, then the remainder is 0
Remainder = Denominator - Numerator
This gives
Remainder = 402 - 33
Evaluate
Remainder = 369
This means that the remainder of 33/402 is 369
Read more about quotient at
https://brainly.com/question/629998
#SPJ1
Possible question
Find the quotient and remainder for the following expression using the division algorithm.
33/402
Hi, I was absent today in class and I really need help with question 8 I will be much appreciated if you show work and the step so I can be more understanding thank you!
Question 8
We are to solve
[tex]x^{2.8}=31[/tex]This can be simplified to
[tex]\begin{gathered} x^{\frac{28}{10}}=31 \\ x^{\frac{14}{5}}=31 \end{gathered}[/tex]Raising both sides of the equation to a power of 5 we have
[tex]\begin{gathered} x^{\frac{14}{5}\times5}=31^5 \\ x^{14}=31^5 \\ x^{14}=28629151 \end{gathered}[/tex]By raising both sides of the equation to power of 1/14, we get
[tex]\begin{gathered} x^{14\times\frac{1}{14}}=28629151^{\frac{1}{14}} \\ x=\sqrt[14]{28629151} \end{gathered}[/tex]Simplifying this we get
[tex]x=3.40901[/tex]Ryan, Darius, and Mason each have $15.75. They each spend the same amount (d), in dollars, at the school fair. The total amount of money they still have can be expressed as 3(15.75 - d). Which expression is equivalent to the total amount, in dollars, they still have?
16, 12, 20,35,21,17,19,20,13,12,15
What is the
O A. 7 OC. 20
OB. 13 OD. 12
interquartile range of the scores?
Interquartile range of the scores is 7.
What is interquartile range?When values are ranked from lowest to highest, the IQR designates the middle 50% of those values. Find the median (middle value) of the bottom half and upper half of the data before calculating the interquartile range (IQR). Quartile 1 (Q1) and Quartile 3 are these values (Q3). The IQR represents the variation between Q3 and Q1. The strongest indicator of variability in data sets with outliers or skewed distributions is the interquartile range. It's unlikely to be impacted by outliers because it's based on numbers that come from the center half of the distribution.
Given Set
16, 12, 20,35,21,17,19,20,13,12,15
12, 12, 13, 15, 16, 17, 19, 20, 20, 21, 35
25 percentile(Q₁) = 13
50 percentile(Q₂) = 17
75 percentile(Q₃) = 20
Interquartile range = Q₃ - Q₁
Interquartile range = 20-13
Interquartile range = 7
Interquartile range of the scores is 7.
To learn more about interquartile range, visit:
https://brainly.com/question/15686744
#SPJ13
Describe the event X<4 in words. What is P(X<4)
X<4 means that the chosen number is less than four and probability if the event X<4, P(X<4) 2/5.
Let us say that we have to select one number between 0-9.
So, the total possible outcomes can be 10.
Let us say that a number x is chosen randomly,
The expression x<4 means that is the chosen number is X, then the number should must be less than 4, not even equal, it should be less than 4.
So, The probability of X<4, we should first find total favorable outcomes,
The total number less than 4 are 0,1,2,3.
So, the total favorable outcomes are 4.
We know,
Probability of event E is,
P(E) = total favorable outcomes/total number of outcomes.
So, P(X<4) = 4/10
P(X<4) = 2/5
To know more about probability, visit,
https://brainly.com/question/24756209
#SPJ9
The scatter plot shows the price of gas per gallon. Based on the trend line, which is closet to the expected price of 11 gallons of gas?A. $34B. $36C. $38D. $40
see the attached figure below to better understand the problem
Please give me a minute
The price is about $38
therefore
The answer is option C
solve the equation of 3/4 - 1/5
42 divided by (15-2to the power of 3) = Hey y’all it would be great if y’all can help me out!
42 / 15-2^3
First, solve for the exponent:
42 / 15-8
Subtract:
42/7
Divide:
6
Question 3
Write an addition problem that has a sum of -3/ 2/3
The answer is -3 2/3 + 1 = -2 3/5
It's a linear equation form -3/ 2/3
What is linear equation?
An equation between two variables that, when plotted on a graph, produces a straight line or say first degree equation is known as linear equation.
An addition problem that has a sum of -3 2/3 may take different forms one of which is the answer supplied where; -3 2/3 is added to 1 and the result is -2 3/5
Therefore, the answer of -3 2/3 is -2 3/5
To read more about Linear equation
https://brainly.in/question/24318520
#SPJ10
Which would be used to solve this equation? Check all that apply.
StartFraction p Over 3 EndFraction = 12
The steps that would be applied to solve the equation are:
multiplying both sides of the equation by 3
substituting 36 for p to check the solution
What are the steps to take to solve the equation?An equation is a statement in mathematics that consists of two or more expressions that are connected by an equal to sign.
The given equation is:
p / 3 = 12
In order to solve, the equation, p has to be made the subject of the formula.
In order to make the subject of the formula, take the following step:
Multiply both sides of the equation by the denominator of p. The denominator of p is 3.
3 x (p/3) = (12 x 3)
p = 36
Substitute for p using 36 to check the accuracy of the answer derived
36 / 3 =12
Here are the options:
subtracting 3 from both sides of the equation
multiplying both sides of the equation by 3
dividing both sides of the equation by 3
substituting 4 for p to check the solution
substituting 36 for p to check the solution
To learn more about mathematical equations, please check: https://brainly.com/question/26427570
#SPJ1
If it cost $13 to fill a gas tank in 2000, how much of the same tank
could be filled with $13 in 2010?
Answer:
4.58 gallons
Step-by-step explanation:
13$ in 2000 = 8 1/3 gallons
13$ in 2010 = 4.577 gallons
Evaluate the expression when c =-2.5 and d= 8.9.4d-c
To solve the exercise, replace in the expression the given values of c and d and then operate:
[tex]\begin{gathered} c=-2.5 \\ d=8.9 \\ 4(8.9)-(-2.5)=35.6+2.5=38.1 \end{gathered}[/tex]Therefore, the value of the evaluated expression is 38.1
The two points on the graph are given by the linear function f use the two points to find the equation that represents the linear function f. What is f(6)?
The function f(6) has a value of 1./3
How to determine the value of the linear equation?The graph that completes the question is added as an attachment
From the graph, we have the following points
(x, y) = (4, 1) and (1, 2)
We start by calculating the slope of the points using the following slope equation
Slope = (y₂ - y₁)/(x₂ - x₁)
Where x and y are defined above
So, we have
Slope = (2 - 1)/(1 - 4)
Evaluate
Slope = -1/3
At f(6), we have
x = 6
So, the point can be represented as (6, y)
Using the slope formula again, we have
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (4, 1) and (6, y)
This gives
Slope = (y - 1)/(6 - 4)
Evaluate
Slope = (y - 1)/2
So, we have
(y - 1)/2 = -1/3
Evaluate
y = -2/3 + 1
Evaluate
y = 1/3
Hence, the value of f(6) is 1/3
Read more about linear equations at
https://brainly.com/question/14323743
#SPJ1
Solve the inequality.x² + 3x - 28 < 0
We need to solve the inequality:
[tex]x^{2}+3x-28<0[/tex]We can start by sketching the graph of the parabola:
[tex]x^{2}+3x-28=0[/tex]Then, we need to find the points of the parabola below the x-axis.
The zeros of that parabola are given by:
[tex]\begin{gathered} x=\frac{-3\pm\sqrt[]{3^{2}-4(1)(-28)}}{2(1)} \\ \\ x=\frac{-3\pm\sqrt[]{9+112}}{2} \\ \\ x=\frac{-3\pm\sqrt[]{121}}{2} \\ \\ x=\frac{-3\pm11}{2} \\ \\ x_1=-7 \\ \\ x_2=4 \end{gathered}[/tex]And since the coefficient of x² is positive, the parabola opens upwards. So, its graph looks like this:
Thus, the points on the parabola below the x-axis are those for which:
[tex]-7Therefore, in interval notation, the solution to the inequality is:[tex](-7,4)[/tex]Which is correct for this function pls help
The graph represents a linear function with negative slope.
How does different type of graph and their equations look like?
1. Linear graph: It is of the form y= mx+ c
First-order variables are present in linear functions, and the graph's placement is determined by two constants. These operations graph into a line in every case. The slope of the line is determined by the constant m. The slope of the line will slope up if it is positive and down if it is negative.
2. Quadratic graph: y= ax^2+ bx+ c
These type of graphs have an U shaped curve and their slope can also be obtained by drawing a tangent.
3. Square root graph : F(x)=x is the parent function of all functions with the formula f(x)=a+b. Keep in mind that f(x)=x has an x0 domain and a y0 range. By translating the graph of f(x)=x to a units to the right and then b units up, the graph of f(x)=root x-a+b can be derived.
To know more about graphs visit:
https://brainly.com/question/17267403
#SPJ13