Answer:
The width is:
width = 4.7 feetThe length is:
length = 11.3 feetStep-by-step explanation:
Given the equation
[tex]2w\:+\:2\left(2w\:+\:2\right)\:=\:32[/tex]
[tex]2w+4w+4=32[/tex] ∵ [tex]a\left(b+c\right)=ab+ac[/tex]
Add similar elements: 2w+4w=6w
[tex]6w+4=32[/tex]
subtract 4 from both sides
[tex]6w+4-4=32-4[/tex]
[tex]6w=28[/tex]
Divide both sides by 6
[tex]\frac{6w}{6}=\frac{28}{6}[/tex]
[tex]w=\frac{14}{3}[/tex]
Hence, the width is:
[tex]w=\frac{14}{3}[/tex]
w = 4.7 feet
Therefore, the width is: 4.7 feet
As the length is:
2w+2 = 2(14/3)+2
= 28/3 + 2
= 34/3
= 11.3 feet
Therefore, the length is: 11.3 feet
SUMMARY:
The width is:
width = 4.7 feetThe length is:
length = 11.3 feetIf a farmer is able to get 120 eggs from 20 chickens, how many eggs is the farmer able to get per chicken?
Answer:
6 eggs per chicken
Step-by-step explanation:
hdjdjidbdudbddjow0s
Answer:
6
Step-by-step explanation:
Please help with math
In what quadrant of the complex plane is -30-40i
What is 0.62x10 yo the power of 3
Answer:
62
Step-by-step explanation:
Answer:
238.328
Step-by-step explanation:
The product of 0.62 x 10 is 6.2. So, I did 6.2 to the power of 3, which is 238.328.
Find the LCD of the two fractions 1/6 and 1/5
A. 6
B. 5
C. 30
D. 11
Answer:
C. 30 is the correct answer.
Step-by-step explanation:
Johnny made 8 benches in 2 hours. At this rate, how
many benches will he make in 9 hours.
plzzzzzzzzzz!!!!!!!! help on thissss
Answer:
36
Step-by-step explanation:
4 benches in 1 hour
? benches in 9 hours
36 benches
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer:
36 is the answer :)
Step-by-step explanation:
Graph the line with the equation y=-1/4x+1
What is the solution to the system: ax+y=18 and 4ax-y=12? Use elimination. Put the answer as an ordered pair. Show work on the next question. You have 3 unknowns and only 2 equations so you can have the variable "a" in your solution
Answer:
Ax=6
Y=12
Therefore a=6, x=1, y=12
Answer:
{([tex]\frac{6}{a}[/tex],12)}
Step-by-step explanation:
[tex]\left \{ {{ax+y=18} \atop {4ax-y=12}} \right.[/tex]
[tex]5ax = 30[/tex]
[tex]x = \frac{6}{a}[/tex]
[tex]a(\frac{6}{a}) + y = 18[/tex]
6 + y =18→y=12
[tex]4a(\frac{6}{a}) - 12 = 12[/tex]
6 - 12 = 12 → 12 = 12 true x=[tex]\frac{6}{a}[/tex] y=12
I need the missing length help (10 points )
Answer:
5.38516480713
Step-by-step explanation:
a^2+b^2=c^2
5^2+2^2=c^2
25+4=c^2
c^2=square root of 29
c=5.38516480713
What is the quotient in simplest form?
Three-fourths divided by StartFraction 5 Over 16 EndFraction
StartFraction 15 Over 64 EndFraction
StartFraction 15 Over 16 EndFraction
2 and two-fifths
2 and StartFraction 8 Over 20 EndFraction
Answer:
2 and 2/5
Step-by-step explanation:
Trust me on this, also can I have brainlest please? Hope you do well!
2 and two fifths i took the test 6 years ago
Emile is a long-distance runner. He runs at a constant speed of six miles/hour. His goal is to run nine miles on each practice run, but he normally runs a distance that varies three miles more or less than that. Select the correct answer from each drop-down menu. The equation that can be used to find the minimum and maximum time (in hours) Emile runs is_____. For each practice run, the minimum number of hours Emile runs is______ and the maximum number of hours he runs is ______.
Answer:
[tex]t=\dfrac{9\pm 3}{6}[/tex]
[tex]1\ \text{hour}[/tex]
[tex]2\ \text{hour}[/tex]
Step-by-step explanation:
s = Speed of Emile = 6 miles/hour
d = Distance traveled by Emile = [tex](9\pm 3)\ \text{miles}[/tex]
Time taken to find the minimum and maximum time Emile ran for is
[tex]t=\dfrac{d}{s}\\\Rightarrow t=\dfrac{9\pm 3}{6}[/tex]
The required equation is [tex]t=\dfrac{9\pm 3}{6}[/tex]
The time taken is
[tex]t=\dfrac{9-3}{6}\\\Rightarrow t=\dfrac{6}{6}\\\Rightarrow t=1\ \text{hour}[/tex]
The minimum number of hours Emile runs is 1 hour.
[tex]t=\dfrac{9+3}{6}\\\Rightarrow t=\dfrac{12}{6}\\\Rightarrow t=2\ \text{hour}[/tex]
The maximum number of hours Emile runs is [tex]2\ \text{hour}[/tex].
Answer:
|6x – 9| = 3
1 Hour
2 Hours
Step-by-step explanation:
The equation that can be used to find the minimum and maximum time (in hours) Emile runs is_|6x – 9|= 3_. For each practice run, the minimum number of hours Emile runs is__1 hour_ and the maximum number of hours he runs is _2 hour.
What is i2=-1 math test
Answer:
Your answer is: ↓
If your converting in Logarithmic Form then your answer is: [tex]log_{i}(-1)=2[/tex]
If you are trying to figure if that equation is determined T/F: The answer is T.
If you are trying to evaluate (expand) the question your answer is:[tex]-1=-1[/tex]
Step-by-step explanation:
Hope this helped : )
Ryanne is 14. Her brother’s age is three more than half her age. How old is her brother?
Answer:
Her brother is 10 years old
Step-by-step explanation:
14 ÷ 2 = 7
7 + 3 = 10
The answer is 10
Which is the better buy?
7-pound bag of barley for $6.72
312-ounce bag of barley for $28.08
Answer:
7-pound bag of barley for $6.72 is a better buy.
Step-by-step explanation:
7-pound bag of barley for $6.72
6.72 : 7 = 0.96
check your work: 0.96 x 7 = 6.72
so for the first offer you will be paying $0.96 per pound
312-ounce bag of barley for $28.08
1 pound = 16 ounces
312 ounces = 19.5 pounds
28.08 : 19.5 = 1.44
for the second offer you will be paying $1.44 per pound of barley. 7-pound bag of barley for $6.72 is a better buy because you will be less for each pound.
hope this helps!
Answer:
7-pound bag of barley for $6.72
Step-by-step explanation:
Winston deposited $3,294 in a bank account with an annual interest rate of 2.6%. How much interest was earned in 5
years? Round your answer to two decimal places.
Answer:
FV= $3,725.07
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $3,294
Number of periods (n)= 5 years
Interest rate (i)= 2.6% = 0.026
To calculate the future value (FV), we need to use the following formula:
FV= PV*(1+i)^n
FV= 3,294*(1.026^5)
FV= $3,725.07
What is the equation in slope-intercept from of the line that passes through the point (3, 1) and is parallel to the line represented by y = 2.4x + 6.5?
pls help i have pictures pls explain how you get your answer
Answer:
0.75
Step-by-step explanation:
To find the slope of the graph, you have to find the rise and the run by any two points on the graph. (I'm going to calculate using the two blue dots as shown in the picture)
[tex]\frac{rise}{run}[/tex] = [tex]\frac{(-2)-(-5)}{4-0}[/tex]
= [tex]\frac{-2+5}{4}[/tex]
= [tex]\frac{3}{4}[/tex]
= 0.75
3) How many counting numbers less than 50 are multiples of both 3 and 5?
Answer: 3 numbers
Step-by-step explanation:
For this questions to be solved, we need to write the multiples of both 3 abd 5 that are less than 50. This will be:
Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48
Multiples of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45.
Common multiples = 15, 30 and 45
Therefore, the numbers that is less than 50 that are multiples of both 3 and 5 are 3 numbers
Arthur is playing a television game show. He starts with 0
points. Arthur answers questions with the following point
values: 30, -20, 10, -20, 60, -100
What is the point value of a question Arthur can answer so
that he has 0 points again
A. -60
B. -40
C. 40
D. 60
Answer: -40
Step-by-step explanation:
1. 30 -20 = 10
2. 10 + 10 = 20
3. 20 - 20 = 0
4. 0 + 60 = 60
5. 60 - 100 = -40
What is the value of a? Please solve this with the law of sine
Answer:
what chap is this
Step-by-step explanation:
For the equation given below, evaluate y′ at the point (2,2).
xe^y−4y=3x−14+2e^2.
Answer:
[tex]y'\approx -0.41[/tex]
Step-by-step explanation:
Implicit Derivatives
When it's not possible to express one variable as an explicit function of the other, we use implicit derivatives and solve for y'.
Find y' in the equation given below:
xe^y - 4y = 3x - 14 + 2e^2
Taking derivatives with respect to x, recalling y'=dy/dx, and dx/dx=1:
(xe^y)' - (4y)' = (3x)' - (14 + 2e^2 )'
Using the product rule for the first derivative, and simple rules for the rest:
e^y + xe^yy' - 4y' = 3 - 0
Recall the derivative of a constant is zero.
Group terms with y' in the left side and the rest in the right side:
xe^yy' - 4y' = 3 - e^y
Factoring y':
y'(xe^y - 4) = 3 - e^y
Solving:
[tex]\displaystyle y'=\frac{3 - e^y}{xe^y - 4}[/tex]
Evaluating for x=2, y=2:
[tex]\displaystyle y'=\frac{3 - e^2}{2e^2 - 4}[/tex]
Calculating:
[tex]\mathbf{y'\approx -0.41}[/tex]
what is the image of (6,-6) after a dilation by a scale factor of 4 centered at the origin
9514 1404 393
Answer:
(24, -24)
Step-by-step explanation:
Dilation centered at the origin multiplies each coordinate by the dilation factor.
image = 4 × (6, -6)
image = (24, -24)
12% of ___ shirts is 36 shirts
Answer: 3
Step-by-step explanation:
Answer:
300 shirts
Step-by-step explanation:
You can divide 12% by itself to find one percent, then divide the 36 shirts by 12 as well.
What you do to one side, you need to do to the other.
Now that we have our numbers after dividing (you should have 1% and 3 shirts) you can see what 100% would be. To do this you would multiply 1% by 100 and multiply 3 shirts by 100.
Now we know that 12% of 300 shirts is 36 shirts.
Im only have 10 minutes please. Is math
Determine the slope and y-intercept of the line.
y = -69x - 346
a.
Slope = -346, y-intercept is (0, -69)
c.
Slope = -69, y-intercept is (0, -346)
b.
Slope = 69, y-intercept is (0, -346)
d.
Slope = -346, y-intercept is (0, 69)
Answer:
Slope = -69, y-intercept is (0, -346)
Step-by-step explanation:
y=-69x-346
x=0
y= -69(0)-346
y=0-346
y=0
sople -69 coefficient of x
Answer:
c
Step-by-step explanation:
Easy 6th grade question for 25 points.
Reed uses 8 pieces of glass per square foot to make a stained glass window.
How many pieces of glass will he need to make a window that is 864 square inches?
Answer:
Answer is 576. divide 864 by 12 because 12 inches is a foot and then you'll get 72 and then you multiple that by 8.
You have fit a regression model with two regressors to a data set that has 20 observations. The total sum of squares is 1000 and the model sum of squares is 750.(a) What is the value of R2 for this model?(b) What is the adjusted R2 for this model?(c) What is the value of the F-statistic for testing the significance of regression? What conclusions would you draw about this model if α = 0.05? What if α = 0.01?(d) Suppose that you add a third regressor to the model and as a result, the model sum of squares is now 785. Does it seem to you that adding this factor has improved the model?
Answer:
0.75
0.7205882
25.5
Result is significant at α = 0.01 and α = 0.05
Model improved
Step-by-step explanation:
Given that:
Number of observations (n) = 20
Total sum of squares (SST) = 1000
Model sum of squares (SSR) = 750
1) R² = SSR / SST = 750 / 1000 = 0.75
2.)
Adjusted R² = [(SST - SSR) /(n-k-1)] / (SST ÷ (n - 1))
k = number of regressors = 2
Adj R² = 1 - ((1000 - 750) / (20-2-1)) / (1000 / (20 - 1))
1 - 0.2794117 = 0.7205882
3.) Fstat = (SSR / k) / ((SST - SSR) / (n - k-1))
= (750 /2) / ((1000 - 750) / (20 - 2 - 1))
= 25.5
4.) At α = 0.05
Fα,k,(n - k-1) = F0.05, 2, (20 - 2 - 1) = F0.05,2, 17 = 3.5915 (f distribution calculator)
Fstat > F0.05, 2, (20 - 2 - 1)
25.5 > 3.5915 (Hence result is significant at α = 0.05
At α = 0.01
Fα,k,(n - k-1) = F0.01, 2, (20 - 2 - 1) = F0.01,2, 17 = 6.112 (f distribution calculator)
Fstat > F0.01, 2, (20 - 2 - 1)
25.5 > 6.112 (Hence result is significant at α = 0.01
Adjusted R² if a 3rd regressors is added : k = 3
Adjusted R² = [(SST - SSR) /(n-k-1)] / (SST ÷ (n - 1))
k = number of regressors = 3
SSR = 785
Adj R² = 1 - ((1000 - 785) / (20-3-1)) / (1000 / (20 - 1))
1 - 0.2553125 = 0.7446875
Adjusted R² value is now 0.7446875 which is greater than with 2 regressors,. Hence, adding a third regressors improved the model.
write the equation of a line perpendicular to y=7 that passes through (2,13)
need a math genius to help
Answer:
Angle 8
Step-by-step explanation:
Angle 8 is the corresponding angle to angle 4. Corresponding angles are angles that are in the same relative position at each intersection. Since the lines are parallel they are also congruent. If you look at the lines both angle 8 and 4 are on the bottom right side of the intersection, therefore they are corresponding angles.
What is the cube root of 512m^12n^15?
-16m^4n^5
-8m^5n^4
8m^4n^5
16m^5n^4
Answer: 8m ^ 4n ^ 5