The distance covered by Greta after biking at a speed of 12 miles per hour for x hours is 12x miles.
What is speed?Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
Greta starts at mile marker S on a bike trail and is biking at a speed of 12 miles per hour. If she biked for x hours:
Distance covered = 12 mph * x = 12x miles
The distance covered by Greta after biking at a speed of 12 miles per hour for x hours is 12x miles.
Find out more on speed at: https://brainly.com/question/4931057
What is the equation of the line passing through (0,2), with a slope of 5?
Answer:
y=mx+c
Finding the y-intercept by substituting the given points into the equation.
y=mx+c
2=5(0)+c
2-5=c
-3=c
Now, the equation is:
y=5x-3
Find the number that makes the ratio equivalent to 1:9.
7:
Answer:
7:63
Step-by-step explanation:
It's a 1 to 9 ratio, which means the second number is 9 times bigger.
To make it equivalent, you need to make 7 9 times bigger as well.
7x9=63
Answer: 7:63
Turner works a part-time job at a video game shop. He makes $12.30 per hour. If he works 22.5 hours this week, how much will he earn?
Answer:
Step-by-step explanation:
You multiply 12.30 x 22.5 and that = $276.75
Solve the math problem
Answer:
Explanatory variable (independent variable)
The variable that affects the other variable.Drawn along the horizontal axis.Response variable (dependent variable)
The variable that is being affected. Drawn up the vertical axis.(a) As the class wondered if they could predict the father's height, when they know the son's height
Explanatory variable = son's height
Response variable = father's height
(even though this is contrary to real-life, where the father's height would be used to predict the son's height)
(b) **see first attachment**
(c) The association is positive since the father's height increases as the son's height increases.
(d) **see second attachment**
Outlier = Paul (64.5, 73)
This point is far away from the majority of points on the scatter plot.
If we add a regression line to the scatter plot, we can see that this data point is the farthest from the regression line.
Suppose a line, with a slope of -3 and a y-intercept of 4, is translated -4 units along the x-axis and 6 units along the y-axis. What is the equation of this new line?
Answer:
[tex]y=-3x-2[/tex]
Step-by-step explanation:
Slope-intercept form of a linear equation: [tex]y=mx+b[/tex]
where:
[tex]m[/tex] is the slope[tex]b[/tex] is the y-interceptGiven:
slope (m) = -3y-intercept (b) = 4Equation of line: [tex]y=-3x+4[/tex]
If the line is translated -4 units along the axis, we need to substitute
[tex]x \rightarrow (x+4)[/tex]
If the line is translated 6 units along the y-axis, we need to add 6 to the equation:
[tex]\implies y=-3(x+4)+4+6[/tex]
[tex]\implies y=-3(x+4)+10[/tex]
[tex]\implies y=-3x-12+10[/tex]
[tex]\implies y=-3x-2[/tex]
Answer:
y = -3x - 2
Step-by-step explanation:
Rules to remember :
f(x + a) = translated 'a' units leftf(x - a) = translated 'a' units rightStandard form of the original equation
y = mx + bhere m = slope and b = y-intercept⇒ y = -3x + 4Translating -4 units along the x-axis
y = -3(x + 4) + 4y = -3x - 12 + 4y = -3x - 8Translating 6 units along the y-axis
y = -3x - 8 + 6y = -3x - 2A rectangular piece of poster board measures 60 centimeters by 80 centimeters. Linn draws the net of a box on the poster board and cuts it out. If the box measures 10 centimeters by 16 centimeters by 27 centimeters, what is the area of the poster board left?
Angle Terminology with Equations
(Please Full Explanation)
Delta Math:
Supplementary angles are angles that sum up to 180 degrees
∠A and ∠B are supplementary angles
∠A + ∠B = 180°2(x) - 24 + 5(x) - 27° = 180°7(x) -51° = 180°7(x) = 180° + 51°7(x) = 231°x = 33°Find ∠B
5(x) - 27°5(33) - 27°165° - 27138°Therefore ∠B is 138 degrees
Answer:
∠B = 138
Step-by-step explanation:
Suplementary means = 180 soooo
180=(2x-24)+(5x-27)
180=7x-51
231=7x
x=33
B=5x-27
5(33)-27= 138
A cone has a
volume of 3511
cubic feet and a
height of 13 feet.
Find the diameter
of the cone.
Answer:
Ah cgej4
YTL bebekte gt ydd
Step-by-step explanation:
(8=6'+)9*3-6
1.what is the measure in degrees of angle x.
2.what is the measure in degrees of angle y
Show your work
⠀
1. Here,
⠀
[tex] \sf \longrightarrow x + 45^\circ = 180^\circ [/tex] ( Linear pair of angles measure upto 180° )
⠀
Thus,
⠀
[tex] \sf \longrightarrow x + 45^\circ = 180^\circ \\ \\ \\ \sf \longrightarrow x = 180^\circ - 45^\circ \\ \\ \\ \sf \longrightarrow \underline{ \boxed{ \frak{ \blue{ x = 135^\circ }}}} \: \star \: \: \: \: \: \: \: \\ \\ [/tex]
⠀
Now, for y,
⠀
[tex] \sf \longrightarrow \underline{ \boxed{ \sf{ \orange{y = 45^\circ}}}} \: \star [/tex] ( Vertically Opposite Angles)
⠀
[tex] \underline{\rule{230pt}{2pt}} [/tex]
⠀
Compare learning about functions to learning a new language. How are they similar?
Answer:
Similarities
They both follow strict laws (typically stricter for math).
Practice makes perfect: both can be learned to points of practical perfection.
The brain must first attribute meaning or value to elements of either in order to build a learning pattern.
Differences:
Math is learned under assumptions of perfection (2 + 2 = 4 ALWAYS); whereas, language is learned under assumptions of reality (2 + 2 may be 5 for significantly larger values of 2). In other words, 2 average sized men plus 2 average sized Texans would more likely equal 5 or more average sized men.
Math is logical and language is largely artistic.
There is only one solution (or specific set of solutions) to every math problem. On the other hand, there are at least 100 different ways to express the same idea using language.
Step-by-step explanation:
Answer:
Language rules could be compared to syntax rules that govern the writing and scripting of a function. Language-based rules could be compared to syntax rules when writing functions, such that when the guiding syntax is correctly displayed, the function is clear and easy to read.
Am I correct?!? Please tell me!
Answer:
B
Step-by-step explanation:
Standard form of a polynomial is when the terms are order from highest exponential power to lowest exponential power. The choice you chose has the highest exponential power of 1, and a leading coefficient of 1. You are incorrect. The correct answer would be the second choice of:
[tex]5 {x}^{2} + 6x - 7[/tex]
This polynomial is in standard form, and has a leading coefficient of positive 5.
Clarise and Jim sell pumpkins by the pound at a local farmer’s market. The weights, in pounds, of the pumpkins from the most recent harvest are shown in the box plot. Find the median, range, and interquartile range without the outlier.
Step-by-step explanation:
also provide box plot..
Please do number 5 thank you
Answer:
No, the mayor cannot conclude that 90% of residents favor the expansion.
Step-by-step explanation:
The sample taken is from the employees that will work on the highway, but we need to know the resident's opinion. The workers will have a different opinion than the average person, so this is not an accurate conclusion.
what is the discount on a pair of shoes with a regular price of $48?
Taharka, Lamari and Keyon are sharing the cost of a football. Taharka will pay 0.15 of the cost. Lamari
will pay 12 of the cost. Keyon will pay the rest. If the football costs $16, how much will they each pay?
Answer:
the answer should be 3.85 that they pay each
Step-by-step explanation:
Because if you add 12.15 (Taharka + Lamari) and 3.85, it equals 16. The 3.85 comes from 16.00 - 12.15
4. Find the arc length.
Find the circumference:
8km x 2 x 3.14 = 50.24 km
Arc length = 50.24 x 225/360 = 31.4 km
answer: C. 10 pi or 31.4 km
if you answer this. i will forever love you. foreverrrrrrr
Answer:
Step-by-step explanation:
The Mean Value Theorem says that for continuous and differentiable function f(x) on the interval ( a, b ) there is number c ∈ ( a, b ) that
f'(c) = [tex]\frac{f(b)-f(a)}{b-a}[/tex] ....... (1)
~~~~~~~~~~~~~~~~
f(5) = 44
f(0) = - 1
5 - 0 = 5
f'(x) = 2x + 4 ⇒ f'(c) = 2c + 4
2c + 4 = [tex]\frac{44+1}{5}[/tex]
2c + 4 = 9 ⇒ c = [tex]\frac{5}{2}[/tex] (D).
The sum of two consecutive odd numbers is 24. Find the numbers.
Answer:
numbers = 11, 13
Explanation:
Let the two consecutive odd numbers be: n and n + 2
==========
n + n + 2 = 242(n) + 2 = 242(n) = 24 - 22(n) = 22n = 11⇒ One number: 11
⇒ Another number: 11 + 2 = 13
The sum of two consecutive odd numbers is 24. Find the numbers .
Given : -Sum of two consecutive odd no. = 24To Find : -We have to find the numbers .
Concept : -In this question we have to find the numbers by assuming the numbers and forming equations to finally get the appropriate answer .
To Assume : -Let first odd no. be x .Let second odd no. be x + 2So let's get started by solving : -[tex] \longrightarrow \: x + 2 + x= 24[/tex]
Now adding them ,
[tex] \longrightarrow \: 2x + 2 = 24[/tex]
Now taking 2 common ,
[tex] \longrightarrow \: 2(x + 1) = 24[/tex]
Now dividing 24 by 2 ,
[tex] \longrightarrow \: x + 1 = \frac{24}{2} [/tex]
We get ,
[tex] \longrightarrow \: x + 1 = 12[/tex]
Now transposing 1 to right hand side ,
[tex] \longrightarrow \: x = 12 - 1[/tex]
So ,
[tex] \longrightarrow \: \boxed{\bold{ x = 11}}[/tex]
Therefore value of first number is 11 .
Now , other consecutive no. be x + 2 . So
11 + 213Therefore value of second number is 13 .
Verifying :According to question sum of two consecutive no. is 24. So :
11 + 13 = 2424 = 24L.H.S = R.H.S Hence , Verified .Therefore our answer is valid .# [tex] \sf{Keep \: Learning}[/tex]Consider parallelogram VWXY below.
Use the information given in the figure to find m∠YXV, m∠Y, and x.
note:Parallelogram WXYZ not VWXY & I will answer the questions in the image b'cos I don't get your question.
Answers:
a.(i.)Slope of line YZ = 4/5
(ii.)Line adjacent line YZ is line YX,slope of YX =5/4
b.(i.)Length of line YZ =√41 units
(ii.)Length of line YX =√41 units
c.WXYZ is a rhombus.
Step-by-step explanation:
a.Slope=gradient(m)=(y₂-y₁)/(x₂-x₁)
(i.)m of line YZ=(y₂-y₁)/(x₂-x₁) where Y(-6,-1) & Z(-1,3)
(I believe you know what the y₂,y₁,x₂ & x₁ stand for.)
So m=(y₂-y₁)/(x₂-x₁),=(3-(-1))/(-1-(-6) =(4)/(5)=4/5
∴m of line YZ is 4/5
(ii.)m of line YX=(y₂-y₁)/(x₂-x₁) where Y(-6,-1) & X(-2,4)
So m=(y₂-y₁)/(x₂-x₁),=(4-(-1))/(-2-(-6) =(5)/(4)=5/4=1.25
∴m of line YX is 5/4
b.(i.)To find the length of line YZ,we have to express it as column vector YZ.
Vector YZ=OZ-OY,Z-Y=(-1,3)-(-6,-1)=(5,4)
Length=√x² plus y²=√5² plus 4²=√25 plus 16=√41 units
∴The length of line YZ is √41 units.
(ii.)To find the length of line YX,we have to express it as column vector YZ.
Vector YX=OX-OY,X-Y=(-2,4)-(-6,-1)=(4,5)
Length=√x² plus y²=√4² plus 5²=√16 plus 25=√41 units
∴The length of line YX is √41 units.
c.WXYZ is a rhombus.
manatees are large, gentle, slow-moving sea creatures found along the coast of florida. many manatees are injured or killed by boats. here is a scatterplot showing the relationship between the number of boats registered in florida (in thlusands) and the number of manatees killed by boats for the years 1977 to 2015. is r>0 or r<0? closer to r=0 or r=+- 1? explain your reasoing
Using correlation coefficients, it is found that the value of r is greater than 0 and close to 1, as the scatter-plot is increasing linearly.
What is a correlation coefficient?It is an index that measures correlation between two variables, assuming values between -1 and 1.If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.Researching the problem on the internet, it is found that the relation is modeled by an increasing scatter-plot, hence r > 0. There are very few points in which there are oscillations, which indicate a strong relationship, hence r is closer to 1.
More can be learned about correlation coefficients at https://brainly.com/question/25815006
#SPJ1
Maddy has a coupon for bananas. Bananas normally
cost $0.49 per pound. Maddy wants to buy 8
pounds of bananas for her team. She has a coupon
for 5 cents off per pound.
If she uses the coupon, how much will she pay?
Answer:
$3.52
There are two ways you can solve this problem.
1. Take 5 cents off before multiplying.
Since the coupon takes 5 cents off per pound, you can subtract 5 cents off 49 cents.
$0.49-$0.05= $0.44
Now multiply $0.44 by the 8 pounds.
$0.44 (8) = $3.52
2. Take the 5 cents off after multiplying
You can multiply the 5 cents by 8, to find the total money off the bananas. Then subtract that from the total cost.
$0.49 (8) = $3.92 -> Total cost with no coupon
$0.05 (8) = $0.40 -> Total money off
Subtract the two totals.
$3.92 - $0.40 = $3.52
Answer:
I believe the answer is 3.42.
i need help 9y grade math
Answer:
17x+7
Step-by-step explanation:
(10x+3)-(-7x-4)
Done!
Classify the following triangle. Check all that apply
Answer:
The answer is F, A
Step-by-step explanation:
It is a right and isosceles triangle
Answer:
right and isosceles
Step-by-step explanation:
the sum of the degree measurement of all triangles is 180
given are 45 and 45
45 + 45 = 90 so the other angle must be 90
a triangle with an angle of 90 degrees is always a right triangle
also
8^2 + 8^2 = 11.3^2
64 + 64 = 127.69
this is close enough to being true
an isosceles triangle is a triangle with 2 equal side lengths
this is an isosceles triangle because 8 = 8
A rectangle's length is 3 times its width. If the perimeter is 32, what is the area?
I NEED HELP ASAP find the lateral area and surface area of a triangular prism (a, 12^{2} 15^{2}) the height is 20. PLEASE HELP
Answer:
Step-by-step explanation:
what is the correct answers NEED ANSWERS FOR BOTH ASAP
Answer:
group like terms and solve
Can anyone help me with this problem?
Answer:
C
Step-by-step explanation:
pls tell me if im wrong
A scale model of a ramp is a right triangular prism as given in this figure. In the actual ramp, the triangular base has a height of 0.5 yards.
What is the surface area of the actual ramp, including the underside?
Enter your answer as a decimal in the box.
The answer is 7.2 I just didnt see anyone ask this
The surface area of the figure is 720 square inches
How to calculate the surface area of a ramp?The surface area of a figure is the sum of all the area of its faces.
For the given diagram, it consists of 2 triangular faces and 3 rectangular faces
Surface area= (5 * 24) + 2(13*12) + 24 * 12
Surfacee area = 120 + 312 + 288
Surface area = 720 square inches
Hence the surface area of the figure is 720 square inches
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The equation d = 11 cosine (startfraction 8 pi over 5 endfraction t) models the horizontal distance, d, in inches of the pendulum of a grandfather clock from the center as it swings from right to left and left to right as a function of time, t, in seconds. according to the model, how long does it take for the pendulum to swing from its rightmost position to its leftmost position and back again? assume that right of center is a positive distance and left of center is a negative distance. 0.625 seconds 0.8 seconds 1.25 seconds 1.6 seconds
The time it take for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.
What is time period of pendulum?Pendulum is the body which is pivoted a point and perform back and forth motion around that point by swinging due to the influence of gravity.
The time period of pendulum is time taken by it to complete one cycle of swing left to right and right to left.
The equation models the horizontal distance of the pendulum of a grandfather clock from the center as it swings from right to left and left to right as a function of time, t, is given as,
[tex]d = 11 \cos\left( \dfrac{8\pi}{5}t\right)[/tex]
At the maximum position, the time period is zero. Thus,
[tex]\dfrac{8\pi}{5}t=0\\t=0[/tex]
At the minimum position, the period equal to the π. Thus,
[tex]\dfrac{8\pi}{5}t=\pi\\t=\dfrac{5}{8}\\t=0.625[/tex]
This time is for one side of motion. The time for swing from its rightmost position to its leftmost position and back again is,
[tex]t=0.625+0.625\\t=1.25\rm\; s[/tex]
Thus, the time it take for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.
Learn more about the time period of pendulum here;
https://brainly.com/question/3551146
Answer:
C:1.25
Step-by-step explanation:
HELP I NEED THESE FOR TODAY MOST BRAINIEST FOR THE FIRST :)!!
The function f(x) is shown on the graph.
The graph shows three pieces of f of x. One piece is curved in quadrant three increasing from the left and turning at approximately negative 3.8 comma negative 5.5 to then decreases and is asymptotic to the line x equals negative 2. Another piece is an upward opening u-shaped curve, which is asymptotic to the line x equals negative 2 and x equals 2 with a minimum at approximately negative 0.3 comma 2.4 3.24. Another piece is asymptotic to the line x equals 2 and is increasing from the left and passes through the point 3 comma 2 and continues to increase in quadrant one.
Which type of function describes f(x)?
Exponential
Logarithmic
Polynomial
Rational
Question 2(Multiple Choice Worth 2 points)
(07.04 MC)
The table of values represents a continuous function.
x
–3
–1
1
3
5
7
9
g(x)
0.375
0.75
1.5
3
6
12
24
Which type of function describes g(x)?
Exponential
Logarithmic
Polynomial
Rational
Question 3(Multiple Choice Worth 2 points)
(07.04 MC)
Which of the following is an example of a polynomial function?
f(x) = 5x3 + 2x2 – 6x + 7
g of x equals the quantity x squared plus 2x minus 3 end quantity divided by the quantity x minus 4 end quantity
h(x) = 750(1.04)x
p(x) = log3(x)2
Question 4(Multiple Choice Worth 2 points)
(07.04 MC)
Given a polynomial function f(x) = 2x2 + 7x + 6 and an exponential function g(x) = 2x + 5, what key features do f(x) and g(x) have in common?
Both f(x) and g(x) increase over the interval of [–4 , ∞)
Both f(x) and g(x) have the same x-intercepts of (–2, 0) and (–1.5, 0).
Both f(x) and g(x) have the same y-intercept of (0, 6).
Both f(x) and g(x) have the same range of (–∞, 0].
Question 5(Multiple Choice Worth 2 points)
(07.04 MC)
What key features do the functions f(x) = 4-x and g of x equals negative one times the square root of the x minus 4 end root have in common?
Both f(x) and g(x) include domain values of [–4, ∞) and range values of (–∞, ∞), and both functions have an x-intercept in common.
Both f(x) and g(x) include domain values of [4, ∞), and both functions decrease over the interval (4, ∞).
Both f(x) and g(x) include domain values of [4, ∞) and range values of [0, ∞), and both functions have a y-intercept in common.
Both f(x) and g(x) include domain values of [–4, ∞) and range values of (–∞, ∞), and both functions are negative for the entire domain.
The table of values of function g(x) and the function f(x) = 5x3 + 2x2 – 6x + 7 are illustrations of exponential functions and polynomial functions
2. The type of function g(x)The values on the table can be represented as:
(x, g(x)) = (-3, 0.375) (-1, 0.75) (1, 1.5) (3, 3) (5, 6) (7,12) (9, 24)
The above values show that as the values of x increases by 2, the values of function g(x) doubles.
Only an exponential function has this property.
Hence, the table of values represents an (a) exponential function.
3. Example of a polynomial functionA polynomial function is represented as:
y = ax^n + bx^n-2 + .......... + d
Using the above format, the function that is a polynomial function is (a) f(x) = 5x3 + 2x2 – 6x + 7
4. Key features in the functionsThe functions are given as
f(x) = 2x2 + 7x + 6
g(x) = 2x + 5
Set x to 0 to calculate the y-intercept
f(0) = 2(0)2 + 7(0) + 6 = 6
g(x) = 2^0 + 5 = 6
Hence, both functions have the same (c) y-intercept
Questions 1 and 5 are not properly presented
Read more about exponential functions at:
https://brainly.com/question/12940982
Read more about polynomial functions at:
https://brainly.com/question/2833285
Answer:
exponential function
Step-by-step explanation:
HS Teacher