Answer:
W = 4.95
Step-by-step explanation:
You want to start by writing down what you know, and forming a system of equations.
L= length W= width
2L+2W=14.7
L= 2.4
On the left side of the equation, you're adding all your side lengths, and on the right, is the total perimeter. (Also could be written L+L+W+W = 14.7)
You would then substitute L from the bottom equation into the top equation to get:
2(2.4) +2W=14.7
Solving:
4.8+2w=14.7
W= 4.95
To check your answer simply add all the sides together and make sure it equals your perimeter. You can also plug W and L back into the original equation.
Please help explanation need it
Step-by-step explanation:
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boat costs $54,000. you pay 10% down and amortize the rest with equal monthly payments over a 15 year period. If you must pay 4.5 % comounded monthly, what is your monthly payment?
3385.8
Step-by-step explanation:
Five subtracted from seven times a number is 9. What is the number?
A) Translate the statement above into an equation that you can solve to answer this question. Do not solve it yet. Use
x
as your variable.
The equation is _____________
B) Solve your equation in part [A] for
Answer:
x=
Answer:
18
Step-by-step explanation:
7-5=2
2x9=18
–21:(–2 – 5) + ( –14) + 6.(8 – 4.3)
5x + 2y + 19 = 0 3x + 4y + 17 = 0
Answer:
x = -3; y = 2
Step-by-step explanation:
5x + 2y + 19 = 0
3x + 4y + 17 = 0
-10x - 4y - 38 = 0
3x + 4y + 17 = 0
-7x - 21 = 0
x = -3
5(-3) + 2y = -19
2y = -4
y = -2
Answer: x = -3; y = 2
the difference between a number and 6
Step-by-step explanation:
=The difference between a number and 6
the term difference is used in mathmatics as subtraction
let x = a number
x - 6 = the difference between that unknown number and 6
Answer:
Step-by-step explanation:
difference means subtract. Difference is always worded the same way. What you have written means that you start with an algebraic letter and then comes the minus sign and then the number
Let the number = x
x - 6
If it was worded as difference between 6 and a number, you would write it this way
6 - x
Select the correct answer.plz answer fast due at 11:59
What is the solution for x in the equation?
-4 + 5x − 7 = 10 + 3x − 2x
A. x=4/13
B. x=13/4
C. x=4/21
D. x=21/4
Question: -4 + 5x -7 = 10 + 3x -2x
⇒ 5x -11 = 10 + x
⇒ 5x - x = 10+11
⇒ 4x = 21
⇒ x = 21/4
Answer is Option D
x = 21/4
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Consider the value of t such that 0.01 of the area under the curve is to the right of t. Assuming the degrees of freedom equals 27, determine the t value. Round your answer to three decimal places.
The t-value that satisfies the condition is t = 2.797 (rounded to three decimal places).
To determine the t-value such that 0.01 of the area under the curve is to the right of it, we need to use a t-distribution table or a statistical software.
The t-distribution is characterized by its degrees of freedom, which in this case is given as 27.
To find the t-value corresponding to an upper tail probability of 0.01, we need to locate the critical value in the t-distribution table.
Since we're looking for the right tail, we want to find the t-value that corresponds to a cumulative probability of 1 - 0.01 = 0.99.
Let's denote this critical value as t(critical).
Using the t-distribution table or a statistical software, we find that the t-value for a cumulative probability of 0.99 with 27 degrees of freedom is approximately 2.797.
Therefore, the t-value that satisfies the condition is t = 2.797 (rounded to three decimal places).
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Solve the inequality: |4w – 2|-6>8 PLEASE HELP
Hi ;-)
[tex]|4w-2|-6>8 \ \ /+6\\\\|4w-2|>14\\\\4w-2>14 \ \text{or} \ 4w-2<-14\\\\4w>14+2 \ \text{or} \ 4w<-14+2\\\\4w>16 \ /:4 \ \text{or} \ 4w<-12 \ \ /:4\\\\\huge\boxed{w>4 \ \text{or} \ w<-3}[/tex]
Answer:
[tex] |4w - 2| - 6 > 8 \\ |4w - 2| > 8 + 6 \\ |4w - 2| > 14 \\ remove \: mode \\ then \: two \: possibilities \\ 4w - 2 > 14 \: or \: 4w - 2 > - 14 \\ 4w > 14 + 2 \: or \: 4w > - 14 + 2 \\ 4w > 16 \: or \: 4w > - 12 \\ w > 4 \: or \: w > - 3 \\ then \: option \: (1) \\ thank \: you[/tex]
Diện tích xung quanh của hình chóp tứ giác đều có cạnh bằng 6cm và độ dài trung đoạn bằng 10cm là:
A. 120 cm2 B. 240 cm2 C. 180 cm2 D. 60 cm2
Answer:
A
Step-by-step explanation:
(6.2).10=120cm²
Đáp án đó chúc bạn học tốt
i need some help with this question. it says find x
Answer:
x = 9.8
Step-by-step explanation:
Please see attached photo for diagram.
We'll begin by calculating the value of y. This can be obtained as follow:
Angle θ = 45
Opposite = 6
Hypothenus = y
Sine θ = Opposite /Hypothenus
Sine 45 = 6/y
0.7071 = 6/y
Cross multiply
y × 0.7071 = 6
Divide both side by 0.7071
y = 6 / 0.7071
y = 8.5
Finally, we shall determine the value of x. This can be obtained as follow:
Angle θ = 60
Opposite = 8.5
Hypothenus = x
Sine θ = Opposite /Hypothenus
Sine 60 = 8.5 / x
Cross multiply
x Sine 60 = 8.5
Divide both side by sine 60
x = 8.5 / sine 60
x = 8.5 / 0.8660
x = 9.8
y
Which point on the x-axis lies on the line that passes
through point C and is parallel to line AB?
5 4
C
NU
1
O (1,0)
O (1, 1)
0 (0, 2)
O (20)
А
54
214
2 3
4 5
х
h
B
3
4
ch
I think it's (2,0).
Because u use the slope of line AB to go down from point C until one of the answers are met.
The point on the x-axis that will make the line that passes through point C parallel to line AB is: D. (2, 0).
Slope of Parallel LinesTwo lines on a coordinate plane are parallel to each other if they have the same slope.Slope = change in y/change in x.Slope of AB = -(3/6)
Slope of AB = -1/2
Slope of from point (2, 0) to point C(-2, 2):
Slope = (2 - 0)/(-2 - 2) = 2/-4
Slope = -1/2
Therefore, the point on the x-axis that will make the line that passes through point C parallel to line AB is: D. (2, 0).
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3. The length of a rectangle is 4 inches more than its width. The area of the rectangle is equal to 5 inches more than 2 times the perimeter. Find the length and width of the rectangle.
1. Ewa has 20 balls of four colors: yellow, green, blue, and black. 17 of them are not green, 5 are black, and 12 are not yellow. How many blue balls does Ewa have? (Use Gaussian elimination method).
Answer:
In a bag of balls, 1/4th are green, 1/8th are blue, 1/12th are yellow and the remaining 26 are white. How many balls are blue?
There are 4 colours of balls - green, blue, yellow and white.
Add (1/4)+(1/8)+(1/12) = (6/24)+(3/24)+(2/24) = 11/24 so the balance or (24–11)/24 = 13/24 = 26 white. Hence the total number of balls are 2*24 = 48.
Of the 48 balls, green are (1/4)*48 = 12, blue are (1/8)*48 = 6, yellow are (1/12)*48 = 4 and the rest, white are 26.
Check: Total number of balls = 12+6+4+26 = 48
Answer: 6 balls are blue....
Pete receives a weekly allowance for doing chores around the
house. Pete saves his money for 17 weeks. After 17 weeks, he
saves $187. How much money does Pete get for his allowance
each week
9514 1404 393
Answer:
A. $11 per week
Step-by-step explanation:
$187 = (17)(weekly allowance) . . . . . Pete's savings after 17 weeks
weekly allowance = $187/17 = $11 . . . . . divide by 17
Pete gets $11 each week.
Answer:11 per week
Step-by-step explanation:I did the test
HELP!!!!!!!!!
What is | 12 − 2i |?
Answer:
Answer is 2√37
Step-by-step explanation:
since a+bi = sqrt(144+4) = sqrt(148) = 2sqrt37
14 a and b please help
Step-by-step explanation:
14a. One method is two solve for x. Edit: I accidentally press sent. Repost the question and I'll answer it.
Given that the triangle ABC is at A= (2,4) B= (5,9) C =(1,7) and if the triangle is reflected across the line y=1, what is the new position of point B?
We need not consider a whole triangle but just point B.
Before reflection we know that [tex]B(5,9)[/tex].
Reflecting B over [tex]y=1[/tex] is relatively easy. First because its a reflection over the horizontal line the only coordinates that will change are y coordinates, while x coordinate will not change so half of the reflection is already done for us,
[tex]B(5,a)[/tex]
Now to what has changed, well currently the distance between 9 and 1 on the y axis is 8 up. But because we are reflecting the a must now be 8 down from 1 which means [tex]1 - 8 = -7[/tex] so our point is now [tex]\boxed{B(5,-7)}[/tex].
Hope this helps :)
9514 1404 393
Answer:
(5, -7)
Step-by-step explanation:
Reflection across the line y = c is accomplished by the transformation ...
(x, y) ⇒ (x, 2c -y)
For c=1 and point B, we have ...
B(5, 9) ⇒ B'(5, 2·1 -9) = B'(5, -7)
The image of point B is (5, -7).
IF YOU CAN ANSWER THIS QUESTION, YOU ARE A TRUE MEME LORD
Alan needs a total of $370 to buy a new bicycle. He has $40 saved. He earns $15 each week delivering newspapers. How many weeks will Alan have to deliver papers to have enough money to buy the bicycle?
CAN YOU DO IT??
Answer:
22 weeks
Step-by-step explanation:
Let Suppose if weeks is x
So if we count it:
$40 + $15x = $370
$15x = $330
x = 22 weeks
So, Alan needs 22 weeks to have enough money to buy the new bicycle
Determine the pattern for the following sequence and find the next two terms: 1, -2,4,-8, ...
Answer:
Answer:×(-2)
Answer:×(-2)Step-by-step explanation:
-2/1 = -2
4/-2 = -2
-8/2 = -2
Next two: 16, -32
How much would Carol have to invest today at 5.5% compounded annually to have $5300 for a vacation to China in three years?
Select one:
a.
$5023.70
b.
$4513.55
c.
$3179.08
d.
$4768.62
If a= 3 and b= 5; find
(a+b)
Answer: 3/8
Step-by-step explanation:
A=3
B=5
3/3+5=3/8
Rationalize 2 / 2√2
Answer:
[tex]\frac{\sqrt{2} }{2}[/tex]
Step-by-step explanation:
[tex]\frac{2}{2\sqrt{2} }[/tex] * [tex]\frac{2\sqrt{2} }{2\sqrt{2} }[/tex] =[tex]\frac{4\sqrt{2} }{8}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex]
Find the area of the circle round your answer to the nearest 10th
Answer:
The area is 19.63.
Step-by-step explanation:
Step-by-step explanation:
Area of a circle is
[tex]area = \pi \: r ^{2} [/tex]
area=3.14(2.5)²
19.63in²
find the perimeter of the polygon
Answer:
50
Step-by-step explanation:
19-7=12
6+6+7+19+12
Simplify tan(arcsec 1)
Answer:
0
Step-by-step explanation:
Arc sec(1)=0, tan(0)=0
The probability distribution of a random variable X is given. x 1 2 3 4 P(X = x) 0.4 0.1 0.3 0.2 Compute the mean, variance, and standard deviation of X. (Round your answers to two decimal places.) mean variance standard deviation
Mean:
[tex]E(X) = \displaystyle \sum_{x\in\{1,2,3,4\}}x\,P(X=x) = 1\times0.4 + 2\times0.1 + 3\times0.3 + 4\times0.2 = \boxed{2.3}[/tex]
Variance:
[tex]\displaystyle V(X) = E\left((X-E(X))^2\right) = E(X^2) - E(X)^2 \\\\ E(X^2) = \sum_{x\in\{1,2,3,4\}}x^2\,P(X=x) = 1^2\times0.4 + 2^2\times0.1 + 3^2\times0.3 + 4^2\times0.2 = 6.7 \\\\ \implies V(X) = 6.7 - 2.3^2 = \boxed{1.41}[/tex]
Standard deviation:
[tex]\sigma_X = \sqrt{V(X)} = \sqrt{1.41} \approx \boxed{1.19}[/tex]
A rectangular floor is 9 yards long and 3 yards wide. What is the area
C = qt - k
(Make k the subject using transportation)
V = u + at
(Make u the subject using transportation)
Answer:
C - qt = -k
k = - C + qt
V = u + at
V - at = u
u = V - at
Answer:
c=qt-k
c-qt= -k
c-qt/-1=-k/-1
k=c-qt/-1....
v=u+at
v-at=u
u=v-at
I hope this helps
A normal distribution has a mean of 20 and a standard deviation of 4. Determine the z-score for the data value of 42.
Answer:
Z = (42-20)/4 = 5.5
Z = X-μ / σ
Step-by-step explanation:
The z-score for the data value of 42 is 5.5.
What is a z-score?A z-score is defined as the fractional representation of data point to the mean using standard deviations.
Formula of z-score = (X - μ) / σ
Given,
μ = 20
σ = 4
X = 42
z-score = (X - μ) / σ
Substitute the values,
z-score = (42-20)/4
z-score = 22/4
z-score = 5.5
Hence, the z-score for the data value of 42 is 5.5.
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