Answer:
Bugs bunny did both
Step-by-step explanation:
B
Bugs Bunny dug faster than Mr. Mole since his digging rate is -0.8 meters per minute compared to Mr. Mole's -0.6 meters per minute. Bugs Bunny also started at a higher altitude compared to Mr. Mole. This comparison involves understanding the rates of change from given functions and data points.
To determine who dug faster between Mr. Mole and Bugs Bunny, we need to compare their digging rates.
Comparing Digging Rates
Mr. Mole's altitude function is given by A = -4 - 0.6t. The rate at which Mr. Mole digs is represented by the coefficient of t, which is -0.6 meters per minute.
To find Bugs Bunny's digging rate from the table, we need to calculate the change in altitude over the change in time:From time 2 minutes (-1.6 m) to time 9 minutes (-7.2 m):Rate = (final altitude - initial altitude) / (final time - initial time)= (-7.2 - (-1.6)) / (9 - 2) = -5.6 / 7 ≈ -0.8 meters per minuteFrom time 9 minutes (-7.2 m) to time 16 minutes (-12.8 m):Rate = (final altitude - initial altitude) / (final time - initial time)= (-12.8 - (-7.2)) / (16 - 9) = -5.6 / 7 ≈ -0.8 meters per minuteSince Bugs Bunny's rate is -0.8 meters per minute and Mr. Mole's rate is -0.6 meters per minute, **Bugs Bunny dug faster**.
Comparing Starting Altitudes
Comparing their initial altitudes:
Mr. Mole's initial altitude is -4 meters (when t = 0).
From the table, Bugs Bunny's initial data point is at time 2 minutes, altitude -1.6 meters. To find his initial altitude, we assume constant rate from this point backward:
(-1.6 meters at 2 minutes) + (0.8 meters/minute × 2 minutes) = -1.6 + 1.6 = 0 meters
Thus, Bugs Bunny started at a higher altitude.
Pink rose plants are on sale for $3 each and white ones for $5 each. A gardener decides to buy 13 in total, choosing more white plants than pink. If the gardener spent $55, how many white plants did he buy?
Answer:
8
Step-by-step explanation:
If the gardener bought more white than pink, that could mean he could have bought 12 white and one pink, 11 white and 2 pink, 10 white and 3 pink, 9 white and 4 pink, 8 white and 5 pink, or 7 white and 6 pink.
If you plug in the numbers, for example with 7 and 6, that would equal $53, which is not correct. Continue to do this with all of the answers.
With 8 white roses and 5 pink roses, this would equal $55 (40+15), which is the answer.
By solving form expressions the gardener bought 5 pink plants.
What is an expression?In mathematics, an expression is a combination of one or more numbers, variables, constants, and operators, which when evaluated, produce a value. Expressions can include mathematical symbols such as addition, subtraction, multiplication, division, exponents, roots, logarithms, and trigonometric functions.
Let's use algebra to solve this problem.
Let's assume that the gardener bought x pink plants and y white plants. We know that:
The gardener bought 13 plants in total: x + y = 13
The gardener spent $55: 3x + 5y = 55
The gardener chose more white plants than pink: y > x
We can use the first equation to solve for x in terms of y:
x = 13 - y
Now we can substitute this into the second equation:
3(13 - y) + 5y = 55
Simplifying and solving for y:
39 - 3y + 5y = 55
2y = 16
y = 8
So the gardener bought 8 white plants. To find out how many pink plants were bought, we can substitute this value into the first equation:
x + y = 13
x + 8 = 13
x = 5
So the gardener bought 5 pink plants.
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What is the slope of the line that passes through the points (–9, 2) and (0, 4)?
Answer:
2/9
Step-by-step explanation:
Slope = y2- y1/x2 - x1
Given
x1 = -9
y1 = 2
x2 = 0
y2 = 4
Therefore
Slope = 4 - 2 /0 -(-9)
= 4 - 2/0 + 9
= 2/9
Answer:
2/9 is correct, or just .22
Step-by-step explanation:
Use the formula [tex]\frac{x^2 - x^1}{y^2 - y^1} = \frac{rise}{run} = \frac{-9 - 0}{2 -4}[/tex]
However, the variables, are not squared, that is meant to be subscript :D
First, rewrite 13/30 and 9/20 so that they have a common denominator
Answer:
Must determine the LCD. Think: what is the smallest (least) number divisible by both 30 and 20? You could, of course, just multiply 30 and 20, obtaining 600, but that would not be the LCD.
Note that 30 and 20 share the common factor 10. Multiplying 3 and 2 together produces 6. The LCD is 10*6 = 60. Note that both 30 and 20 divide into 60 with no remainder.
Then 19/30 = 2(19) / 2[30] = 38/60, and
13/20 = 3(13) / 3[20] = 39/60.
Which is larger, 38/60 or 39/60?
Write the relationship between these 2 numbers using the appropriate inequality operator.
Step-by-step explanation:
The fractions 13/30 and 9/20, when rewritten with a common denominator, are 26/60 and 27/60, respectively.
To rewrite the fractions 13/30 and 9/20 with a common denominator, we need to find the least common multiple (LCM) of the denominators, which is the smallest multiple that both 30 and 20 share.
The prime factorization of 30 is 2 * 3 * 5, and the prime factorization of 20 is 2 * 2 * 5. To find the LCM, we take the highest power of each prime factor that appears in either number:
LCM(30, 20) = 2 * 2 * 3 * 5 = 60
Now, let's rewrite the fractions with the common denominator of 60:
13/30 = (13/30) * (2/2) = (13 * 2) / (30 * 2) = 26/60
9/20 = (9/20) * (3/3) = (9 * 3) / (20 * 3) = 27/60
So, the fractions 13/30 and 9/20, when rewritten with a common denominator, are 26/60 and 27/60, respectively.
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Does 2, square root of 5, 3 form a right triangle
Answer:
yes
Step-by-step explanation:
since [tex]3^2=5+2^2[/tex]
18 times 9 then multiply 1/2??
Answer:
81
Step-by-step explanation:
18*9=162
162*[tex]\frac{1}{2}[/tex]=81
Answer:
81
Step-by-step explanation:
18 * 9 = 162
162 * 1/2 is 81
Also multiplying by 1/2 is the same as dividing by 2
Hope this helped!
Angle 1 is 100 degrees. What is the measure of angle 3?
Answer:
Angle 3 is also 100
Step-by-step explanation:
They are vertical angles and vertical angles are always congruent.
The angle 3 is in the given figure is ∠3 = 100°.
What are parallel lines?
The parallel lines are a group of straight lines that never intersect with one another. The distance between two parallel is always the same.
The measure of angle 1 is given as ∠1 = 100°.
When two lines intersect each other, the pair of vertically opposite angles are equal.
Since, angle 1 and angle 3 are vertically opposite, they are equal.
Thus, ∠3 = 100°.
Hence, the measure of angle 3 is 100°.
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The common ratio of a geometric series is \dfrac14
4
1
start fraction, 1, divided by, 4, end fraction and the sum of the first 4 terms is 170
Answer:
The first term is 128
Step-by-step explanation:
The common ratio of the geometric series is given as:
[tex]r = \frac{1}{4} [/tex]
The sum of the first 4 term is 170.
The sum of first n terms of a geometric sequence is given b;
[tex]s_n=\frac{a_1(1-r^n)}{1-r}[/tex]
We put the common ratio, n=4 and equate to 170.
[tex]\frac{a_1(1-( \frac{1}{4} )^4)}{1- \frac{1}{4} } = 170[/tex]
Simplify:
[tex]\frac{a_1(1- \frac{1}{256} )}{ \frac{3}{4} } = 170[/tex]
[tex] \frac{255}{256} a_1 = \frac{3}{4} \times 170[/tex]
[tex]\frac{255}{256} a_1 = \frac{255}{2} [/tex]
[tex]\frac{1}{256} a_1 = \frac{1}{2} [/tex]
[tex] a_1 = \frac{1}{2} \times 256[/tex]
[tex]a_1 = \frac{1}{2} \times 256 = 128[/tex]
Answer:
128
Step-by-step explanation:
Find one value of x that is a solution to the equation (x^2+3)^2=4x^2+12
Answer:
[tex] {( {x}^{2} + 3) }^{2} = {4x}^{2} + 12[/tex]
[tex] \bf \purple{ {(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2} } [/tex]
[tex] {( {x}^{2}) }^{2} + 2({x)}^{2} (3) + {(3)}^{2} = {4x}^{2} + 12[/tex]
[tex] {x}^{4} + {6x}^{2} + 9 = {4x}^{2} + 12[/tex]
[tex] {x}^{4} = {4x}^{2} - {6x}^{2} + 12 - 9 [/tex]
[tex] {x}^{4} = { - 2x}^{2} + 3[/tex]
[tex]( {x}^{2} \times {x}^{2}) = { - 2x}^{2} + 3[/tex]
[tex]2 \times {x}^{2} = { - 2x}^{2} + 3[/tex]
[tex] = \frac{ { - 2x}^{2} + 3 }{ {2x}^{2} } [/tex]
[tex] = 3[/tex]
What is the missing constant term in the perfect square that starts with x squared minus 8x ?
Answer:
16
Step-by-step explanation:
[tex] {x}^{2} - 8x + 16 = (x - 4) ^{2} \\ [/tex]
Write an equation for the line that has a slope of 1/2 and passes through the point (-2,5)
Answer:
y=0.5x+6
Step-by-step explanation:
6 is the y-intercept because you go up 1 over 2.
Answer: The equation of line is [tex]2y - x - 12 = 0[/tex]
Step-by-step explanation:
The formula for finding the equation of a line when slope and a point is gives is :
[tex]y-y_{1}=m(x-x_{1})[/tex]
[tex]x_{1}=-2[/tex]
[tex]y_{1}=5[/tex]
[tex]m = 1/2[/tex]
substituting into the formula , we have :
[tex]y - 5 = 1/2 ( x-(-2) )[/tex]
multiply through by 2 , we have
[tex]2(y-5) = 1(x+2)[/tex]
[tex]2y - 10 = x + 2[/tex]
[tex]2y - x - 10 - 2 = 0[/tex]
[tex]2y - x - 12 = 0[/tex]
Therefore : the equation of line is [tex]2y - x - 12 = 0[/tex]
Explore the properties of inscribed angles
by following these steps.
1. Move point C and observe how the
angle measures change.
When AC changes,
m ZABC and m ZADC____
and are _____
to each other.
Answer:they change and are always equal to each other
part 2. they do not change
part 3. 1/2
i just did it on edge 2020
When AC changes, angles ABC and ADC are also changes and are equal to each other.
Inscribed angle :An inscribed angle is an angle whose vertex is on a circle and whose sides contain chords of a circle.
This is different than the central angle, whose vertex is at the center of a circle.
From given figure, It is observed When AC changes, angles ABC and ADC are also change but equal to each other.
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Daniel can eat 15 bowls of Cinnamon Toast Crunch in 60 minutes what is the speed of his cereal eating?
Answer:
0.25 (1/4) bowls a minute.
Step-by-step explanation:
If you divide 15 by 60, you get 0.25 (1/4) and then you just add your labels which is bowls a minute.
(02.04 LC)
What is the equation of a line that contains the points (5,0) and (5,-2)?
x = 5
Ox=0
Oy=0
Oy=5
Answer:
oy=5
Step-by-step explanation:
t golf DJ o frick vet gn hf hi
which expression is equivalent to (1/4)m + (3/4)m - (3/8)(m+1)?
1. (5/8)m + (3/8)
2. (5/8)m - (3/8)
3. (3/8)m + (5/8)
4. (3/8)m - (5/8)
Answer:
2. (5/8)m - 3/8.
Step-by-step explanation:
(1/4)m + (3/4)m - (3/8)(m + 1)
= m - (3/8)m - 3/8
= (5/8) m - 3/8.
The volume of the figure is 168 cubic meters.
What is the height of the figure, in meters?
3.5
7
10.5
14
Answer:
3.5
Step-by-step explanation:
This is because 12 times 4 is 48 and if you divide 168 by 48 you get 3.5 . 3.5 times 12 times 4 is 168.
What is the length of AB?
А. 8
В. 2
С. 6
D. 4
Answer:
C
Step-by-step explanation:
63° =63°
CB = AB
3x = 4x - 2
Answer:
Answer C is correct
=6
Step-by-step explanation:
[tex]3x = 4x - 2 \\ 2 = 4x - 3x \\ 2 = x \\ \\ ab \: \: \: length = 3x \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 \times 2 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 6[/tex]
What is the measure of angle c In degrees?
Answer:
64⁰
Step-by-step explanation:
By angle sum property :
A + B + C = 180⁰
C = 180 - 73 - 43
C = 180 - 116
C = 64⁰
Question 1
Create a circle with center A and a radius of your choice. Create a point B on the circle, and find the coordinates of B. Draw the radius AB. What is
the slope-intercept form (y = mx + b) of the equation of AB? Show your work.
Answer: I couldn't find the answer but I did find the formula? Sorry if this doesn't help much :(
Update:
Center at (-3,0)
Radius = 1
Step-by-step explanation:
(x-x1)^2 + (y-y1)^2 = r^2
(x-x2)^2 + (y-y2)^2 = r^2
Answer:
If point A = (4,4) and B = (8,7)
The slope of M would be 3/4.
Step-by-step explanation:
m = y^2 - y^1/x^2 - x^1 = 7 - 4/ 8 - 4 = 3/4. m = 3/4.
y = mx + b
y = 3/4 x + b
4 = (3/4)(4) + b
b = 4 - 3 = 1
The equation of line AB is y = 3/4 x + 1.
I hope this helps and that it is easy to understand and read! :)
what is the area of the base of a square pyramid whose side is length 17 m
Answer:
289
Step-by-step explanation:
Base of the square pyramid is square
Formula: Length × Width
17 × 17 = 289
The graph shows the speed of a ball in free fall for 10 seconds. Which is the constant of proportionality shown in the graph?
Given:
The graph shows the speed of a ball in free fall for 10 seconds.
We need to determine the constant of proportionality for the given graph.
Constant of proportionality:
The constant of proportionality can be determined using the formula,
[tex]\frac{y}{x}=k[/tex]
Where k is the constant of proportionality.
Let us consider any of the coordinate from the graph and substitute in the formula.
Consider the coordinate (4,40) and substitute in the above formula.
Thus, we have;
[tex]\frac{40}{4}=k[/tex]
[tex]10=k[/tex]
Thus, the constant of proportionality is 10 meters per second squared.
Answer:
10 meters per second squared
Step-by-step explanation:
HELPPP PLEASE❗️❗️❗️❗️
Answer:
33
Step-by-step explanation:
You find the measure of B, which is 180 - (93 + 58) = 29 degrees
You use the law of sines which is 16/sin(29) = (BC)/sin(93)
You multiply both sides by sin(93) and get:
sin(93)*16/sin(29) = BC
You plug this into a calculator and get:
32.9574164555, which is approx. 33
luna had $50 when she got to the carnival. After riding 12 rides she had $26 left. What was the price of each ride? Which equation can be used to represent this situation?
26 - 12p = 50
50 + 12p = 26
12p - 50 =26
50 - 12p = 26
Valeria opened her first bank account at Wells Fargo. she has 80 but she plans to withdraw $5 a week
what is the x?
Equation?
y?
Slope(m)?
Answer:
x/5=80
Step-by-step explanation:
x=how many months it takes to get all the money out hope it is right or you can google it if not
SOME ONE PLZZZZZZZZZZZ HELP FREEE BRAINLIST!!
Answer:
22.6 mi
Step-by-step explanation:
The shortest route is to go from bloomington to seaside to westminster. Simply add up the distances along this route.
Answer:
22.6
Step-by-step explanation:
13.2+9.4=22.6
What is the period of the function shown in the graph?
Answer:
4 units
Step-by-step explanation:
A function is periodic with period P when it can be shifted P units left or right and its graph will map to itself. Here, rising "edges" of the function cross grid lines that are 4 units apart, so the period is 4 units.
Find the leg of each isosceles right triangle when the hypotenuse is given the measure 12 cm
Answer:16.97cm
Step-by-step explanation:
To find the hypotenuse side of an isosceles of side 12cm each
Using pythagoras theorem
hyp^2=opp^2+adj^2
hyp^2=12^2+12^2
Hyp^2=144+144
hyp=√288
Hyp=16.97cm
Given f(x)=3x2+7 and g(x)=2x2-x-1 find (f+g)(x)
Answer: (f+g)(x)=5x2-x+6
Step-by-step explanation:
I hope this helps
75 books represent 10% of total books at library 4.
Answer:
750 books
Step-by-step explanation:
10% .............75 books
100% .............x books
x = 100×75/10 = 7500/10 = 750 books
Plz help me out ASAP
Answer:
68
Step-by-step explanation:
cos22=sinx
sin^-1(cos22)=x
x= 68
help please now 20 points
Answer:
2/5
Step-by-step explanation:
The theoretical probability of getting blue is TOTAL BLUE SPUN/ TOTAL SPINS
There were 12 blue spins out of 30 total spins, making the probability equal to 12/30 = 2/5