Answer:
6 floors per 1 minute
2 and a half pancakes per minute
etc.
Step-by-step explanation:
Simplify to the ratios lowest form and the compare.
\(y = 2x + 2 \\ y = 7x + 11\)how do you solve this equation with substitution?
1) As the chosen method to solve this Linear System of equations then we can write out the following:
\(\mleft\{\begin{matrix}y=2x+2 \\ y=7x+11\end{matrix}\mright.\)2)Let's start with the simplest equation between them. And then, plug into that the value of "y". This way:
\(\begin{gathered} \mleft\{\begin{matrix}I)y=2x+2 \\ II)y=7x+11\end{matrix}\mright. \\ I)y=2x+2 \\ 7x+11=2x+2 \\ 7x+11-2x=2x-2x+2 \\ 5x+11=2 \\ 5x+11-11=2-11 \\ 5x=-9 \\ \frac{5x}{5}=-\frac{9}{5} \\ x=-\frac{9}{5} \end{gathered}\)Now, that we know the quantity of "x", let's plug it into any one of those equations.
3)Let's pick the 2nd one and solve it for "y".
\(\begin{gathered} y=7x+11,x=-\frac{9}{5} \\ y=7(-\frac{9}{5})+11 \\ y=-\frac{63}{5}+11 \\ y=-\frac{63}{5}+\frac{55}{5} \\ y=-\frac{8}{5} \end{gathered}\)Thus, the answer is:
\(x=-\frac{9}{5},y=-\frac{8}{5}\)Salim walked113miles to school and then212miles to work after school. How far did he walk in all? 316 miles 325 miles 345 miles 356 miles
Answer:
Total distance traveled = 1/3 + 1/2 = 2+3/6 = 5/6 miles
Hope this helps!
Step-by-step explanation:
Given equation (x+y)/3= 24 _ x
Rewrite the equation in slope intercept form .
Answer:
(y+72)
I'm not sure because your answer is not very clear
Emily is entering a bicycle race for charity. Her mother pledges $0.90 for every 0.5 mile she bikes. If Emily bikes 8 miles, how much will her mother donate? Her mother will donate
Answer: $24
Step-by-step explanation:
f(x) = 2x2 + 4x - 5
g(x) = 6.23 - 2.2 + 3
Find (f - g)(x).
O A. (f - g)(x) = -6x3+4x2 + 4x - 8
O B. (f - g)(x) = -6x3 + 4x2 + 4x - 2
O c. (f - g)(x) = 623 - 4x2 - 4x + 8
D. (f - g)(x) = 6x3 + 4x - 2
Answer:
C .
Step-by-step explanation:
On a number line, point L is located at -2.5, and point M is at 6.5. If the ratio LK to KM is 6:3, where is point K on the number line?
Point K is located at 3.5 on the number line.
To find point K on the number line, we need to apply the ratio LK to KM, which is 6:3. First, we can simplify this ratio to 2:1.
Next, we will find the total distance between points L and M. The distance LM = 6.5 - (-2.5) = 9 units.
Now, we can divide this distance into 3 equal parts, as per the simplified ratio 2:1. Each part will be 9/3 = 3 units long.
Since LK is 2 parts of the ratio, we will multiply the length of one part (3 units) by 2. LK = 3 * 2 = 6 units.
Finally, we'll find the coordinates of point K by adding the length of LK to the coordinate of point L. So, K = -2.5 + 6 = 3.5.
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Answer:
Point K is at 3.5
Step-by-step explanation:
I just took the test
Can someone help me please?
ASAP
Answer:
y = 12 x = 12\(\sqrt{3}\)
Step-by-step explanation:
This is a 60, 90, 30. It's a special triangle.
2z = 24
z = 12
If x = z\(\sqrt{3}\)
then x = 12\(\sqrt{3}\)
y = z itself
So y = 12
73,498 to the nearest thousand
Answer:
73,000
Step-by-step explanation:
if the hundred is smaller than 500, you round down, if it's larger then round up :)
• Newton pours water out of a filled 2-liter beaker. Now it only has 1,025 milliliters of water in it. How many milliliters of water did Newton pour out?
The amount of water poured out by Newton from the filled 2 liter breaker is 975 milliliters of water.
How to determine the amount poured outOne liter is equal to 1,000 milliliters.
Therefore, a 2-liter beaker has 2,000 milliliters of water when it is full.
After pouring out some water, the beaker now has 1,025 milliliters of water left.
To find how many milliliters of water Newton poured out, we need to subtract 1,025 from 2,000:
So, we have
Amount = 2,000 - 1,025
Amount = 975
Therefore, Newton poured out 975 milliliters of water.
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Determine the period of the function f(t) 2.3cos0.25t
a period .25pi
b period 2pi
c period .5pi
d period 8pi
The period of the function f(t) = 2.3cos(0.25t) is 8π. Hence, the correct answer is d) period 8π.
To determine the period of the function f(t) = 2.3cos(0.25t), we need to consider the coefficient of t inside the cosine function.
In this case, the coefficient is 0.25, which represents the frequency of the cosine function. The period of a cosine function is given by the formula T = 2π/frequency.
Using this formula, we can calculate the period of the function f(t) as follows
T = 2π / 0.25
T = 8π
Therefore, the period of the function f(t) = 2.3cos(0.25t) is 8π.
Hence, the correct answer is d) period 8π.
The period of a function represents the length of one complete cycle or the distance between two consecutive identical points on the graph of the function. In this case, the function is a cosine function, and the period determines how long it takes for the function to repeat its values
The coefficient 0.25 in the function f(t) = 2.3cos(0.25t) affects the frequency of the cosine function. A smaller coefficient results in a slower oscillation, while a larger coefficient leads to a faster oscillation. In this case, since the coefficient is 0.25, it means that the function completes one full cycle within 8π units of time.
Understanding the period of a function is crucial for analyzing its behavior, identifying the frequency of oscillation, and studying its repetitive patterns.
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What is the slope of the line that passes through the points ( 9 , 5 ) (9,5) and ( 21 , − 5 ) (21,−5)? Write your answer in simplest form.
Answer:
-5/6
Step-by-step explanation:
(9, 5) and (21, -5)
slope = m = (difference in y)/(difference in x)
m = (-5 - 5)/(21 - 9)
m = -10/12
m = -5/6
Answer: -5/6
The slope of the line that passes through points (9,5) and (21,-5) is -5/6.
We can use the two-point formula to find the slope for the given line. The formula is as follows:
(y2 - y1) = m*(x2 - x1)
Where (x1, y1, x2, and y2) represent the points on the line, and m is the slope of the line.
In the given case:
x1=9, x2=21
y1=5, y2=-5
Using these values in the two-point formula, we get:
(-5-5)=m*(21-9)
-10=m*12
m=-10/12
m=-5/6
Hence the slope of the line is -5/6.
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g There are students in a kindergarten class. If each kindergartner can have only one task, in how many ways can the teacher assign out the following tasks: line leader, wipe down the tables, pass out papers, water the plants
Answer:
1 or as many students as she has
Answer:She can divide the 4 tasks by the amount of students in the class.
Step-by-step explanation:
Use the quadratic formula to find the exact solutions of 3x2 − 6x + 2 = 0.
a. negative 1 plus or minus the square root of 3 divided by 3
b. 1 plus or minus the square root of 3 divided by 3
c. negative 1 plus or minus the square root of 15 divided by 3
d. 1 plus or minus the square root of 15 divided by 3
The exact solutions of the qudratic equation 3x^2 - 6x + 2 = 0 are:
a. negative 1 plus or minus the square root of 3 divided by
3 (x = (-1 ± √3) / 3) .So, option a is the correct answer.
To find the solutions of the quadratic equation 3x^2 - 6x + 2 = 0, we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:
x = (-b ± √(b^2 - 4ac)) / (2a)
In this case, a = 3, b = -6, and c = 2. Substituting these values into the formula, we have:
x = (-(-6) ± √((-6)^2 - 4(3)(2))) / (2(3))
x = (6 ± √(36 - 24)) / 6
x = (6 ± √12) / 6
x = (6 ± 2√3) / 6
x = (3 ± √3) / 3
Therefore, the exact solutions of the equation 3x^2 - 6x + 2 = 0 are:
a. negative 1 plus or minus the square root of 3 divided by 3 (x = (-1 ± √3) / 3)
So, option a is the correct answer.
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The coordinates below represent a triangle that was dilated
Answer:
Step-by-step explanation:
deez buts
Find the slope from the line of best fit y = 5 - 3x.
Answer:
slope = -3
Step-by-step explanation:
⭐ What is the equation of a line in slope intercept form?
\(y = mx+b\)m is the slope. It is always multiplied with the variable (x)b is the y-intercept. It is always the term without a variableThe given line of best fit is written in slope-intercept form. All we have to do is identify which term is the slope.
\(y = -3x + 5\)
-3 is the coefficient of x. Therefore, -3 is the slope.
Select the correct answer. What is the solution to the equation? √3x+3-1=x A. -1 and 2 B. -2 and 1 C. 2 D. 1
Answer:
A
Step-by-step explanation:
\(\sqrt{3x+3}=x+1 \\ \\ 3x+3=x^2+2x+1 \\ \\ x^2-x-2=0 \\ \\ (x-2)(x+1)=0 \\ \\ x=-1, 2\)
Upon substituting both of the values back into the original equation, we see they both work.
Pls help me with this question
The equation that represents the condition is m° + 66° + m° = 120°. Then the value of m is 27°.
When two lines intersect, then their opposite angles are equal. Then the equation is given as,
m° + 66° + m° = 120°
Simplify the equation for m, then the value of 'm' is calculated as,
m° + 66° + m° = 120°
2m° = 120° - 66°
2m° = 54°
m° = 27°
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Round up 64,781 to the nearest ten thousand
64,781
/\
|
60,000
---
hope it helps
Answer:
60,000
Step-by-step explanation:
Hope This Helps ; )
Plz Mark Brainliest
Question 11(Multiple Choice Worth 2 points)
(Identifying Transformations LC)
Use the image to determine the direction and angle of rotation.
Graph of triangle ABC in quadrant 3 with point A at negative 8 comma negative 4. A second polygon A prime B prime C prime in quadrant 4 with point A prime at 4 comma negative 8.
90° clockwise rotation
180° clockwise rotation
180° counterclockwise rotation
90° counterclockwise rotation
The triangle rotates in a counterclockwise direction, and the angle of rotation is 90°.
The graph of triangle ABC in quadrant 3 has point A at negative 8, negative 4. A second polygon A prime B prime C prime in quadrant 4 has point A prime at 4, negative 8.
To determine the direction and angle of rotation, it is necessary to observe the original and the final position of the figure.
The original position of the figure is triangle ABC in quadrant 3 with point A at negative 8, negative 4.
The final position of the figure is the second polygon A prime B prime C prime in quadrant 4 with point A prime at 4, negative 8.
The triangle rotates in a counterclockwise direction, and the angle of rotation is 90°.
The answer is 90° counterclockwise rotation.
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5. The Colorado state flag consists of three horizontal stripes of equal height. The side lengths of the flag are in the ratio 2 : 3. The diameter of the gold-colored disk is equal to the height of the center stripe. What percentage of the flag is gold?
Answer:
the diameter of the circle is ⅓ of the height
so the radius is 1/6 of the height
the area of the flag is 1*1.5 of the height
(we need to consider this)
pi*(1/6)² / 1.5
= 0.058177
so the percentage is
5.82 %
So, the required percentage is \(5.81\%\).
To understand the calculations, check below.
Area of the disk:The area of the disk is defined as the ‘ measure of surface ‘ surrounded by the round edge (circumference) of the disk. The area of a disk can be derived by breaking it into a number of identical parts of disk as units — calculating their areas and summing them up till the disk is reformed.
That is \(Area=\pi \frac{d^2}{4}\)
Let the width and the length of the flag be \(2x\) and \(3x\) respectively.
So, the diameter of the gold-colored disk will be \(\frac{2x}{3}\)
Now, by using the above formula the area of the gold disk will be,
\(\pi \frac{d^2}{4}=\pi\times\frac{4x^2}{4\times 9} \\ =\frac{\pi x^2}{9}\)
And the area of the flag will be,
\(Area=l\times b\\=2x\times 3x\\=6x ^2\)
So, the required percentage is,
\(\frac{(\frac{\pi x^2}{9} )}{6x^2} \times 100=\frac{\pi}{54}\times 100\\ =5.81\%\)
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the speed (or rate) josiah travels to work is inversely proportion to time it takes to get there. if he travels 35 miles per hour it will take him 2.5 hours to get to work.
Josiah will take 1.5 hours to travel to work at the speed of 55 miles per hour.
As the speed and time are inversely proportional to each other, we can represent it as -
speed(i)/speed(f) = time(f)/time(i), where I represents initial and f represents final. Now, keep the values in formula to find the time (final).
35/55 = time(f)/2.5
Rewriting the equation according to variable time(f).
time(f) = (35×2.5)/55
Performing multiplication on Right Hand Side of the equation
time(f) = 87.5/55
Performing division on Right Hand Side of the equation
time(f) = 1.59 hours
Hence, it will take 1.59 hours.
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The complete question is -
The speed (or rate) Josiah travels to work is inversely proportional to time it
takes to get there. If he travels 35 miles per hour it will take him 2.5 hours to get to work. How long will it take him if he travels 55 miles per hour?
If your financial goal is to save at least $40000 in 10 years What would be the least amount of money to save each month
Answer:
$334 to the nearest dollar.
Step-by-step explanation:
If you just stuff it under the bed that would be
40000/ 120 (as there are 120 months in 10 years)
= $334.333...
simplify the expresion (5÷5)+5×(5²- 5)
Answer: 101
Step-by-step explanation: 1+5x20 then 100+1= 101
Solve for angles x and y in the triangle below. Round your angle to the nearest whole degree.
Solve for both x and y
\(\tan(y )=\cfrac{\stackrel{opposite}{6}}{\underset{adjacent}{4}} \implies \tan( y )= \cfrac{3}{2} \implies \tan^{-1}(~~\tan( y )~~) =\tan^{-1}\left( \cfrac{3}{2} \right) \\\\\\ y =\tan^{-1}\left( \cfrac{3}{2} \right)\implies y \approx 56.31^o \\\\[-0.35em] ~\dotfill\\\\ \tan(x )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{6}} \implies \tan( x )= \cfrac{2}{3} \implies \tan^{-1}(~~\tan( x )~~) =\tan^{-1}\left( \cfrac{2}{3} \right) \\\\\\ x =\tan^{-1}\left( \cfrac{2}{3} \right)\implies x \approx 33.69^o\)
Make sure your calculator is in Degree mode.
Identify the type of correlation you would expect to see between the pair of data sets. Explain.
The number of members in a family and the cost of the family's traveling tickets. *
(2 Points)
i cant see anything but dashes..
What is the M.A.D. (mean absolute deviation) of the following data set?
8 9 9 7 8 6 9 8
The mean absolute deviation is 0.75
How to determine the mean absolute deviationTo calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set
From the information given, we have that the data set is;
8 9 9 7 8 6 9 8
Let's calculate the mean, we get;
Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8
Mean = 64 / 8
Divide the values
Mean = 8
Let's determine the absolute difference, we get;
Absolute differences=
|8 - 8| = 0
|9 - 8| = 1
|9 - 8| = 1
|7 - 8| = 1
|8 - 8| = 0
|6 - 8| = 2
|9 - 8| = 1
|8 - 8| = 0
Find the mean of the absolute differences:
Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8
Absolute difference = 6 / 8 = 0.75
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Audrey is growing basil. On February 1st, her plant was 5 inches tall. A week later, the plant was 9 inches tall. By what percent did the plant grow?
Answer:
80%
Step-by-step explanation:
We know that the plant was 5 inches and it grew 4 inches to become 9 inches, so now we just need to figure out what percentage 4 is of 5. An easy way to do this is by multiplying 5 by 2 to get 10 and since 4 is 40% of ten we know that 4 is 80% of 5 because we have to multiply 4 by 2 because we did 5.
the plant grew by 80%.
Step-by-step explanation:
What is 2x2 + 1000 x 1000
Answer: 2x2 + 1000 x 1000 = 1000004
Step-by-step explanation: you add on 5 0's to the one and 2x2 = 4 so add on the 4 also
Answer:
1000004
Step-by-step explanation:
First we do can separate it into the parentheses: (2*2) + (1000*1000)
= 4 + 1000000
= 1000004
A 47-foot tall tree casts a shadow that is 89 feet long find the measure of the angle elevation
Answer:
The angle is \(\theta =27.84^o\)
Step-by-step explanation:
From the question we are told that
The height of the tree is \(h = 47 \ ft\)
The length of the shadow is \(L = 89 \ ft\)
Generally applying SOHCAHTOA , the angle of elevation is evaluated as
\(tan \theta = \frac{h}{L }\)
=> \(tan \theta = \frac{47}{89}\)
=> \(tan \theta = 0.52809\)
=> \(\theta = tan^{-1} [0.52809 ]\)
=> \(\theta =27.84^o\)
Multiple Choice
Find the area of the trapezoid,
14 mm
15 mm
36 mm
O A. 270 mm?
<
OB. 375 mm
O C. 750 mm
O D. 3780 mm?
PLEASE HELP
Answer:
The answer is B
Step-by-step explanation:
The formal is A = a+b/2 time h
You just substitute the variables and get the answer