The conversion factor to convert meters to feet is 3.281 feet per meter.
What conversion factor should we use to convert meters to feet?
According to dimensional analysis, a quantity in a given unit can be converted into another quantity in a given unit of the same kind by using a conversion factor, whose formula is shown below:
Y = A · X
Unit representation
[Y] = ([Y] / [X]) · [X]
In this problem we need to convert a SI length unit into an US length unit. A meter is approximately equal to 3.281 feet or 1.094 yards.
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65 POINTS!!!
Given g(x) = −4x + 4, identify the domain, range, and x-intercept of the function.
A)Domain: −∞ < x < ∞; Range: −∞ < y < ∞; x-intercept (1, 0)
B)Domain: −∞ < x < ∞; Range: −∞ < y < ∞; x-intercept (−1, 0)
C)Domain: −4 < x < 4; Range: − 4 < y < ∞; x-intercept (1, 0)
D)Domain: −4 < x < 4; Range: −∞ < y < 4; x-intercept (−1, 0)
The domain of the function is -∝ < x < ∝, the range of the function is -∝ < y < ∝, and the x-intercept of the function is (-1, 0)
How to identify the domain, range, and x-intercept of the function?The equation of the function is given as
g(x) = 4x + 4
The function g(x) is a linear function.
There is no restriction on the input values and output values of a linear function
This means that the domain and the range of a linear function are the set of all real numbers
Set g(x) to 0, to determine the x-intercept
So, we have
4x + 4 = 0
Divide through by 1
So, we have
x + 1 = 0
Evaluate the like terms
x = -1
Hence, the domain of the function is -∝ < x < ∝, the range of the function is -∝ < y < ∝, and the x-intercept of the function is (-1, 0)
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Answer: Your answer is B darling.
Step-by-step explanation:
PLEASE HELP ASAPPP !! WILL GIVE BRAINLIEST AND 5 STAR RATINGGG
Answer:
37/30
Step-by-step explanation:
A smoothie calls for 4/6 of a peach, 1/2 of a banana, and 2/6 of a kiwi. how much fruit will be in the smoothie?
The amount of fruit in the smoothie will be 3/2 .
It is given in the question that a smoothie calls for 4/6 of a peach, 1/2 of a banana, and 2/6 of a kiwi.
We have to find the amount of fruit in the smoothie.
We know that,
Amount of fruit in the smoothie = Amount of peach in the smoothie + Amount of banana in the smoothie + Amount of kiwi in the smoothie
Hence,
Amount of fruit in the smoothie = 4/6 + 1/2 + 2/6
Adding all the fractions, we get,
4/6 + 3/6 + 2/6 = 9/6 = 3/2
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why might a dot plot not be the best choice for graphing
Answer:
Dot plots are hard to construct when dealing with larger, more precise data sets. This makes it difficult to read multiple data points, and it gets very confusing after a while. Therefore, it would not be a good choice for graphing due to its inaccuracy.
Answer:
Dot plot aren't too good for large sets of datas. If you also got many data that are close together, the more you got the harder it will be might to read the data that your doing
Sketch a graph of f(x) H 2x+5 if x < -2 1 if -2 < x < 4, 7 if x > 4 Note: Be sure to include closed or open dots, but only at breaks in the graph. 3000
The graph of the given piecewise function is plotted at the end of the answer.
What is a piecewise function?A piecewise function is a function that has different definitions, depending on the input.
From the definition in the problem, we have that:
To the left of -2the function is a increasing line.From x = -2, until a closed interval at x = 4, the function is a constant.To the right of x = 4, with an open interval, the function is another increasing line.Considering these three definitions, the graph is given at the end of the answer, with the legend of the closed interval given in the text.
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three quarters of the 84 crayons are broken. How many crayons are broken?
Answer:
63 crayons are broken
Step-by-step explanation:
84 ÷ 4 = 21
21 x 3 = 63
can be checked by 84 - 63 = 21
Please help will give brainiest if right
Answer:
Equation: 2x + x + 72 = 180m∠1 = 72°m∠2 = 108°Step-by-step explanation:
The angles lie on a straight line summing to total 180 degrees.
Form an equation:
m∠1 + m∠2 = 180
2x + x + 72 = 180
and solve:
3x + 72 = 180
3x = 180 - 72
3x = 108
x = 36
Find m∠1: 2(x) = 2(36) = 72°Find m∠2: x + 72 = 36 + 72 = 108°Answer:
see below
Step-by-step explanation:
We are here given a straight line which is splitted into two parts by a line , such that it makes two angles.
Also we know that the angle measure of a straight line is 180° . Therefore; here the sum of angles 1 and 2 will be 180° .
So that,
==> angle 1 + angle 2 = 180°
==> 2x + x + 72° = 180°
==> 3x = 180° - 72°
==> 3x = 108°
==> x = 108°/3
==> x = 36° .
The equation which we used to solve the problem is ,
==> Equation = 2x + x + 72° = 180°
For finding the individual angels substitute the value of x into their expressions , as ;
==> angle 1 = 2x = 2(36°) = 72°
==> angle 3 = x + 72° = 36° + 72° = 108° .
And we are done!
Factor:
3t³-21t²-12t
Answer:
3t (t²-7t-4t)
Step-by-step explanation:
The highest common factor was 3t
express
the speed
10m
per second as
km per hour
10 m/s can be expressed as 36km/h.
Here, we are given an expression for speed, that is: 10 meter per second.
Now, as per the rules of mathematics,
1 kilometer = 1000 meters
⇒ 1 meter = 1/1000 kilometers
or 1 meter = 0.001 kilometers
and also, 1 hour = 60 mins
and 1 min = 60 seconds
⇒ 60 mins = 60 × 60 seconds
= 3600 seconds
Thus, 1 hour = 60 mins = 3600 seconds
⇒ 1 second = 1/3600 hours
Now, we need to convert meter per second into kilometer per hour,
1 meter/ 1 second = [tex]\frac{0.001}{\frac{1}{3600} }[/tex]
= (0.001 × 3600)/ 1
= 3.6
This 1 meter per second = 3.6 kilometer per hour
⇒ 10 meter per second = 3.6 × 10 = 36 kilometers per hour
Thus, 10 m/s is 36km/h.
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I need help asap pls
The results of the equations are listed below:
T' = 20 °C A ≈ 113.097 m² A = 100 ft² s = 312.5 mi C' = $ 120 C' = $ 40 s = 27.5 mi T' = 100 °C C' = $ 60 A = 112 ft²How to use equations to find required information?
In this problem we must make use of given formulas and substitute all known variables to determine all the required information:
Case 1
The temperature in Celsius scale in terms of the temperature in Fahrenheit scale is defined by the following formula:
T' = (5 / 9) · (T - 32)
T' = (5 / 9) · (68 - 32)
T' = 20 °C
Case 2
The area of the circle in terms of its radius is presented below:
A = π · r²
A = π · (6 m)²
A ≈ 113.097 m²
Case 3
The area of the triangle as a function of its base and its height is shown in the following formula:
A = 0.5 · b · h
A = 0.5 · (8 ft) · (25 ft)
A = 100 ft²
Case 4
The traveled distance is the product of the velocity and time:
s = v · t
s = (62.5 mi / h) · (5 h)
s = 312.5 mi
Case 5
The simple interest formula is equal to the product of the invested amount, interest rate and time divided by 100:
C' = (C · r · t) / 100
C' = [(300) · (5) · (8)] / 100
C' = $ 120
Case 6
C' = (C · r · t) / 100
C' = [(200) · (2) · (10)] / 100
C' = $ 40
Case 7
s = v · t
s = (45 mi / h) · (0.5 h)
s = 27.5 mi
Case 8
T' = (5 / 9) · (T - 32)
T' = (5 / 9) · (212 - 32)
T' = 100 °C
Case 9
C' = (C · r · t) / 100
C' = [(1200) · (2.5) · (2)] / 100
C' = $ 60
Case 10
The area of the rectangle is equal to the product of its base and its height:
A = b · h
A = (14 ft) · (8 ft)
A = 112 ft²
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Using the protractor tool on the right, choose the image that represents an angle measuring 55°.
Answer:
I think it's C.
Step-by-step explanation:
hope you get it right
Rita and Tina each make $11 an hour working as cashiers at a supermarket. Last week, Rita worked r hours while Tina worked t hours. Rita also worked overtime hours during the week, for which she was paid an extra $32 flat wage. Which expressions represent the total weekly wages of both Rita and Tina?
Rita and Tina's total weekly wages can be represented as
,
, or
.
Reset Next
Answer: it is .
Step-by-step explanation:
Rita and Tina each make $11 an hour -> 11r for Rita and 11t for Tina in the week
Rita also worked overtime hours and got paid an extra $32 -> Rita and Tina's total weekly wages can be represented as 11r + 11t + $32 (or 11(r+t) + 32)
A = {-1, 0, 1,...}
What numbers are shown
in set A?
A. Whole numbers
B. Counting numbers
C. Integers
Answer:
C. integers
Step-by-step explanation:
integers are similar to whole numbers : all numbers without any fractional part, but including negative numbers.
whole numbers only include positive numbers (incl. 0) without any fractional part.
natural numbers (I guess, that is the meaning of "counting numbers") are all positive numbers (but without 0) without any fractional part.
so, C is correct, because A contains also -1.
Answer:
B
Step-by-step explanation:
it cat be a whole number because whole number are set of positive number from 0 and above excluding fraction , negative integer or decimal.
integers include both positive and negative numbers excluding fraction and decimal
order these following rational numbers from greatest to least:
25% -0.17 3/5 -1/12 12
Answer:
12, 3/5, 25%, -1/12, -0.17
Step-by-step explanation:
The simplest way to do this is to convert all of the numbers into either a fraction, decimal, or a percentage. In my opinion, it is easier to use a percentage here.
25% is already a percentage
-0.17 = -17%
3/5 = 60%
-1/12 (you can use a calculator to divide and find the percentage here) = -8.33
12 = 1200%
Now that the rational numbers are all in the same unit, it is easier to sort them. In the end, we get this list (from greatest to least):
12, 3/5, 25%, -1/12, -0.17
FINAL ANSWER: 12, 3/5, 25%, -1/12, -0.17
Do you guys know how to find a square root or cube root without a calculator? I need a explanation and a example.
Answer:
square of the following
2×2=4
3×3=9
4×4=16
2×2×2=8
now
square root
√4
√2×2
=2 answer likewise other
again
cube root
√8
=√2×2×2
=2 through that you can find these
at first you should know square and cube of different numbers from 1 to 20 is the required you should know then you can easily find out answer
Rewrite in the distributive property, please?
-3(5x-10)
Answer: -15x+30
Step-by-step explanation:
-3(5x-10)=
-3*5x-10(-3)=
-15x-(-30)=-15x+30
Answer:
-15x-30
Step-by-step explanation:
Just multiply -3 by 5 in 5x and get -15 and then put x back with -15. thhen multiply -3 by 10 and get -30
First try was inco
Lemon earns a 3.2% commission as a salesperson. She sold a drone
for $146.97. What is the amount of Lemon's commission? Round your
answer to the nearest penny.
label required
The amount of Lemon's commission is $4.7
According to the question we have been given that
Commission earned by Lemon = 3.2%
Selling price of drone which is sold by Lemon = $146.97
We need to find the amount of commission she earned by selling the drone.
The formula to be used to find the amount of commission is
= percentage of commission * selling price
putting the required value we get
= 3.2% of $146.97
here 'of' is denoted as multiplication
thus, =0.032 * 146.97
= $4.7
Hence the amount of Lemon's commission is $4.7
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(Crys) Im in 11 grade and in applied geometry I need help crys and how do you show
ur work for it ( crys)
Answer:
1. -2/3 3. -5/4 5. 3/2 FOR THE REST OF THE PARTS LOOK THROUGH THE EXPLANATIONS
Step-by-step explanation:
Before I start the workings, I'll give a little explanation on this topic.
So, the equation of a straight line is
y = mx + c
where x and y are any coordinates of any point on the line.
m is the gradient or slope
m can be calculated using 2 formulas,
formula 1: Rise/Run
where rise is the how much a graph goes upwards or downwards, if its upwards use positive integer and if its downwards use negative integer.
Run is how much a graph moves to the right or to the left, if it moves to the right is is positive, if it moves to the left it is negative.
Formula 2: (y2-y1)/(x2-x1)
the values of these are taken through any 2 coordinates on the line.
and c is the y-intercept(the point where the line crosses the y-axis.
MOVING TO ANSWERING NOW
1. Dotted points on the line are (1,0) and (4,-2)
Formula of slope,
U can use any of the 2 formulas given above
I'll show both for this question
m = (y2-y1)/(x2-x1) = (-2-0)/(4-1) = -2/3
OR
m = rise/run = where rise is -2 and run is 3 so -2/3
2. TRY DOING THIS ONE YOURSELF
For the next part I'll do 3 and 5 for your understanding, try doing 2 and 4 on your own to understand.
3. Coordinates given (13,1) and (1,16)
m = (y2-y1)/(x2-x1) = (16-1)/(1-13) = 15/-12 simplify this and it becomes -5/4
5. (-8,-14) and (-10,-17)
m = (y2-y1)/(x2-x1) = (-17-(-14))/(-10-(-8)) = -3/-2 = 3/2
FOR THE NEXT PART I'LL DO 7,8 AND 10 FOR YOU, TRY DOING 9 ON YOUR OWN FOR PRACTICE.
I WILL ALSO ATTACH FILES FOR THE NEXT PARTS IN ORDER OF QUESTIONS SO SEE THEM.
7. y = x + 3 this means y = 1x +3 which means:
1 is the gradient
3 is the y-intercept
so 1 as a fraction is 1/1 which means rise is one upwards and run is 1 to the right.
Now go to the graph on the y-axis and plot the point 3, (0,3) is your y-intercept. From their rise by one and run by one this will lead u to point (1,4)
Mark both these points and make a line through them.
8. x = -5
now look at this equation in the form of y = mx + c
0 = 1x + 5 the means y is 0 and it is already told in the question that x = -5
if u rearrange 0 = 1x + 5 it will give you x = -5
now when y is 0 x = -5 put a point on the coordinate (-5,0) and draw a vertical straight line.
10. y = (1/4)x - 1
slope is 1/4 which means rise is 1 and run is 4
y-intercept is -1
now go to y=-1 which is the coordinate (0,-1) and rise by one and run by 4, this will take u to the coordinate (4,0) now put a dot on both coordinates, connect them and put a line through them.
The formula for simple interest is I=Prt.
a. Solve the formula for t.
t= ___
b. Use the new formula to find the value of t in the table.
The value of t in the table is____years.
a. The formula solved for t is t = I/Pr
b. The value of t in the table is 3 years
Simple InterestFrom the question, we are to solve for t in the given formula
The given formula is the formula for simple interest
I = Prt
To solve for t, we will divide both sides of the equation by Pr
That is,
I/Pr = Prt/Pr
I/Pr = t
∴ t = I/Pr
The formula solved for t is t = I/Pr
b. We are to find the value of t when
I = $75
P = $500
r = 5% = 0.05
From
t = I/Pr
t = 75/(500×0.05)
t = 75/25
t = 3 years
Hence, the value of t in the table is 3 years
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Please help me for scale factors
Answer:
91/7=13
so x=11×13
x=143
solve the similtaneous equations
y=9-x
y=2x^2+4x+6
The solution of the given equation are (1/2 , 17/2) and (-3 , 12)
The two equation that we have been given are :
y = 9 – x (1)
y = 2x² + 4x + 6 (2)
We will solve this simultaneously, from equation (1) we will equate the value of y in equation (2) we get
9 – x = 2x² + 4x + 6
3 = 2x² + 5x
2x² + 5x – 3 = 0
Now to find the factors of the value x we will use quadratic formula.
x = (-b±√b² – 4ac)/2a
x = [ -5 ± √25 + 24 ]/4
x = [ -5 ± 7 ]/4
x = (-5 + 7)/4 and x = (-5 – 7)/4
x = 1/2 and x= -3
putting the required value of x in equation (1) we get
y = 9 – 1/2 and y = 9 – (-3)
y = 17/2 and y = 12
Hence the solution of the equation is (1/2 , 17/2) and (-3 , 12)
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A poll was taken in a town with a population of 15,000. The poll asked for an opinion of the city council's performance for the past year. The number of
people who thought that the council had done well was 9,500. What percent of the population voted favorably? (Round to the nearest tenth if necessary)
So the percentage would be 9500/15000 = 63.333333333... = 63.3...%
What is 166.44 dived by 4. PLEASE USE LONG DIVISION. The person who USES LONG DIVISION TO GET THE ANSWER GETS 10 points and brainiest.
Answer:
41.61
Step-by-step explanation:
Just divide.
[tex]\begin{matrix}4\overline{|\smallspace166.44}\:\:\:\:\:\:\:\end{matrix}[/tex]
Answer: We have the equation:
166.44 ÷ 4 = 41.610
Calculated to 3 decimal places.
0 4 1. 6 1 0
4 1 6 6. 4 4 0
− 0
1 6
− 1 6
0 6
− 4
2 4
− 2 4
0 4
− 4
0 0
− 0
0
Step-by-step explanation: hope this helps
Which graph shows the solution of the inequality −|x − 2| + 9 > 6?
answer is -1 < x < 5
-|x - 2|+ 9 > 6
Rearrange the terms
-|x - 2| > 6 - 9
-|x - 2| > - 3
then divide both sides of the inequality by the co- efficient of variable
|x - 2| < 3
convert the absolute inequality to standard inequality
-3 <x - 2 < 3
separate compound inequalities into system of inequality
{x - 2}> -3
{x - 2 < 3}
Rearrange variable to the left side of the equation
x > -3 + 2
calculate the sum or difference
x > -1
x -2 < 3
Rearrange variable to the left side of the equation
x < 3 + 2
calculate the sum or difference
x < 5
x > -1 and x < 5
Find intersection
-1 < x < 5
Equations and inequalities are both mathematical sentences formed by relating two expressions to each other. In an equation, the two expressions are deemed equal which is shown by the symbol =. Where as in an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
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The branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter is best referred to as?
The branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter is best referred to as inferential statistics.
What is inferential statistics?Statistical inference is the method of using data analysis to infer characteristics of a probability distribution. Inferential statistical analysis deduces population properties, for example, by testing hypotheses and generating estimates. The observed data set is assumed to be a sample from a larger population. Inferential statistics is the branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter.Descriptive statistics is only concerned with the properties of the observed data and does not assume that the data come from a larger population. Inferential statistics differ from descriptive statistics.Therefore, the branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter is best referred to as inferential statistics.
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A 1.0 l buffer solution is 0.15 m in hcn and 0.10 m in nacn. which action will destroy the buffer?
The buffer will probably be destroyed by the addition of HCN.
What is buffer solution?A weak acid and the conjugate base of the weak acid, or a weak base and the conjugate acid of the weak base, are combined to form the buffer solution, a water-based solvent solution. They withstand being diluted or having modest amounts of acid or alkali added to them without changing their pH.
Given that a 1.0 l buffer solution is 0.15 m in HCN and 0.10 m in NaCN.
We need to find a action which one destroy the buffer solution.
A buffer is a substance made of salt and a weak acid that is beneficial. From the aforementioned chemicals, HCN is a potent acid and NaCN is a salt between HF and NaCN. Therefore, the buffer will probably be destroyed by the addition of HCN.
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Let , which represents the set of points on and inside an in the xy-plane. find two specific examples two vectors, and a vector and a scalar to show that h is not a subspace of .
The two vectors and a vector and a scalar which shows that H is not a subspace of [tex]R^2[/tex] are [tex]\bold{\left[\begin{array}{c}\frac{1}{5} \\\frac{1}{4} \end{array}\right]}[/tex] , [tex]\bold{\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{7} \end{array}\right]}[/tex] and [tex]\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{3} \end{array}\right][/tex] and 6.
Given the set, [tex]H=\{\left[\begin{array}{c}x\\y\end{array}\right] :8x^2+5y^2\leq 1\}[/tex] which represents the set of points on and inside an ellipse in the xy-plane.
We have to show that H is not a subspace.
We can show that this set is not closed under vector addition of two vectors by finding those vectors.
[tex]\left[\begin{array}{c}\frac{1}{5} \\\frac{1}{4} \end{array}\right][/tex] and [tex]\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{7} \end{array}\right][/tex] are two vectors in H, since it satisfies the given condition, [tex]8x^2+5y^2\leq 1[/tex].
i.e., [tex]8\times(\frac{1}{5})^2 + 5\times (\frac{1}{4})^2 = 0.6325\leq 1[/tex] and [tex]8\times(\frac{1}{6})^2 + 5\times (\frac{1}{7})^2 = 0.3242\leq 1[/tex]
[tex]\left[\begin{array}{c}\frac{1}{5} \\\frac{1}{4} \end{array}\right][/tex] + [tex]\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{7} \end{array}\right][/tex] = [tex]\left[\begin{array}{c}\frac{11}{30} \\\frac{11}{28} \end{array}\right][/tex]
But [tex]8\times(\frac{11}{30})^2 + 5\times (\frac{11}{28})^2 =1.847 \geq 1[/tex]
So the vector [tex]\left[\begin{array}{c}\frac{11}{30} \\\frac{11}{28} \end{array}\right][/tex] does not belongs to H.
So It is not closed under addition.
Now we will prove that H is not closed under scalar multiplication of a vector and a scalar either.
[tex]\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{3} \end{array}\right][/tex] is a vector in H. But [tex]6\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{3} \end{array}\right][/tex] does not belongs to H, where 6 is a scalar.
This is because [tex]6\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{3} \end{array}\right][/tex] = [tex]\left[\begin{array}{c}1 \\2 \end{array}\right][/tex] and [tex]8\times1^2 + 5\times 2^2 =28 \geq 1[/tex].
So the two vectors are [tex]\bold{\left[\begin{array}{c}\frac{1}{5} \\\frac{1}{4} \end{array}\right]}[/tex] and [tex]\bold{\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{7} \end{array}\right]}[/tex] and one vector and a scalar are [tex]\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{3} \end{array}\right][/tex] and 6.
The question is incomplete. Find the complete question below:
Let [tex]H=\{\left[\begin{array}{c}x\\y\end{array}\right] :8x^2+5y^2\leq 1\}[/tex], which represents the set of points on and inside an in the xy-plane. Find two specific examples two vectors, and a vector and a scalar to show that H is not a subspace of [tex]R^2[/tex].
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HELPPPPP ASAPPP PLssss
Answer:
<
Step-by-step explanation:
Negative numbers are always smaller than positive numbers, and "<" is the smaller than symbol, so < is the correct choice. We can eliminate = immediately because a negative number can't equal a positive number (excluding the weird number 0)
There is a step missing from the equation below. Which equation is the missing step
Answer: 25=0.011x+13
What is √84 simplified
The simplified form of √84 is 2√21.
To simplify the given value, first, we need to write down the prime factorization of 84.
The prime factorization of 84 = 2² × 3 × 7
Therefore,
√84 = √(2² × 3 × 7)
Applying the radical rule: √ab = √a × √b, we get
√84 = √2² × √(3 × 7)
Applying the radical rule: √a² = a, for a ≥ 0, we get
√84 = 2 × √(3 × 7)
Multiply the numbers 3 and 7 we get 3 × 7 = 21
√84 = 2 × √21
√84 = 2√21
Therefore, the simplified form of √84 is 2√21.
Refer to the attached image for the above steps.
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