Answer:
[tex]\huge\boxed{\bf\: 83 \: yd^{2}}[/tex]
Step-by-step explanation:
Consider rectangle ABCD.
Here,
AB = DC = 9 yd (length = l)
AD = BC = 7 yd (width = w)
Area of this rectangle:
= l * b
= 9 * 7
= 63 yd²
[tex]\rule{150pt}{2pt}[/tex]
Now, take rectangle DEGF.
Here,
DE = FG = 5 yd (length = l)
DF = EG = 4 yd (width = w)
Area of this rectangle:
= l * b
= 5 * 4
= 20 yd²
[tex]\rule{150pt}{2pt}[/tex]
Total area of the compisite figure:
= Area of rectangle ABCD + Area of rectangle DEGF
= 63 yd² + 20 yd²
= 83 yd²
[tex]\rule{150pt}{2pt}[/tex]
Refer to the attachment for the labelling of the figure.ANSWER THE FOLLOWING:
Answer:
1) 69/81 (indirect probability)
2) not asked a question (indirect probability)
3) 1/4 (indirect)
4) 75% (indirect)
Step-by-step explanation:
1) 45+24/12
2) Doesn't ask a question
3) 2 are white females so 2/8=1/4
4) 45%+30%
I hope this okay and correct
What is the range of the polynomial y = 3x3 - 3x2 - 3x + 8 in interval notation?
Answer:
(-∞,∞)
Step-by-step explanation:
find the value of X.
(√32)²= (X+2)²+x
Answer:
Answer:x=−6.274917217635375,1.2749172176353745
Step-by-step explanation:
(3(2))2=(x+2)2+x12=x2+5x+4
Step 1: Subtract x^2+5x+4 from both sides.12−(x2+5x+4)=x2+5x+4−(x2+5x+4)−x2−5x+8=0
For this equation: a=-1, b=-5, c=7.999999999999998−1x2+−5x+8=0Step 2: Use quadratic formula with a=-1, b=-5, c=7.999999999999998.x=−b±b2−4ac2ax=−(−5)±(−5)2−4(−1)(8)2(−1)x=5±57−2x=−6.274917217635375,1.2749172176353745
I. Elena wants to estimate what proportion of computers produced at a factory have a certain defect. A random sample of 200 computers shows that 12 computers have the defect. She is willing to assume independence between computers in the sample. Based on this sample, construct a 95% confidence interval for the proportion of computers that have the defect.
a
(0.4529, 0.5871)
b
(0.02709, 0.09291)
c
(0.02131, 0.09869)
d
(0.0309, 0.0691)
Find the prime factorization of 495=
Def. of Prime Factorization: defined as a way of finding the prime factors of a number
[tex]495=3^2*5*11[/tex]
Hope that helped!
Solve for the unknown side and find perimeter of the figure below note that the figure is not drown to scale.
Answer:
[tex]x = 12\ m,\ perimeter = 63\ m[/tex]
Step-by-step explanation:
Step 1: Determine x
[tex]\frac{15\ m}{10\ m} = \frac{x}{8\ m}[/tex]
[tex](15\ m*8\ m) = (10\ m * x)[/tex]
[tex]120\ m^2 / 10\ m = x * 10\ m / 10\ m[/tex]
[tex]12\ m = x[/tex]
Step 2: Determine the perimeter of the figure
[tex]18\ m + 15\ m + 10\ m + 8\ m + 12\ m[/tex]
[tex]63\ m[/tex]
Answer: [tex]x = 12\ m,\ perimeter = 63\ m[/tex]
A car depreciates at a rate of 30% per year. How much will
a $20 000 car be worth after five years? (3 marks)
[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &20000\\ r=rate\to 30\%\to \frac{30}{100}\dotfill &0.3\\ t=\textit{elapsed time}\dotfill &5\\ \end{cases} \\\\\\ A=20000(1 - 0.3)^{5}\implies A=20000(0.7)^5\implies A=3361.4[/tex]
A research study compares three treatments with n=5 in each treatment. If the Ex values for the three treatments are 5, 10, and 15, then the between treatments' degrees of freedom would be equal to_
a) 12
b) 3
c) 2
d) 14
The between treatments' degrees of freedom would be equal to 10
What is degrees of freedom?Degrees of freedom is a combination of how much data you have and how many parameters you need to estimate.
Given the data in the question;
A research study comparing three treatments with n = 5 in each treatment produce;
that is: n₁ = 5, n₂ = 5, n₃ = 5
T₁ = 5, T₂ = 10, T₃ = 15,
SS₁ = 6, SS₂ = 9, SS₃ = 9
∑x² = 94
First, we obtain the grand total;
G = T₁ + T₂ + T₃ = 5 + 10 + 15 = 30
N = n₁ + n₂ + n₃ = 5 + 5 + 5 = 15
Total SS = ∑x² - ( G²/N )
we substitute
Total SS = 94 - ( (30)²/ 15 )
Total SS = 94 - ( 900 / 15 )
Total SS = 94 - 60
Total SS = 34
To get the SSbetween or Between SS;
Between SS = ∑( T²/n ) - ( G²/N )
Between SS = ∑( (5)²/5 + (10)²/5 + (15)²/5 ) - ( (30)²/ 15 )
Between SS = ∑( 25/5 + 100/5 + 225/5 ) - ( 900 / 15 )
Between SS = ∑( 5 + 20 + 45 ) - 60
Between SS = 70 - 60
Between SS = 10
Hence the between treatments' degrees of freedom would be equal to 10.
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Part B
Find the equation of a line passing through the same point that f(x) passes through at x = 3 with a slope equal to the
limit you found in part A.
The function is f(x) = x³ − 4x² + 2.
How to find the slope?The slope of a line or straight object is the ratio of how much amount of rise occurs in correspondence to the increment in the run.
Find the difference between the y coordinates, Δy is change in y.Find the difference between the x coordinates, Δx is change in x.Divide Δy by Δx to find slope.As,
Slope = rise/ run
Given:.
f(x) = x³ − 4x² + 2
As a line passing through the same point that f(x) passes through at x = 3 with a slope equal to the limit.
Then the slope of the function is given by the differentiation.
slope= d/dx [f(x)]
slope= d/dx ( x³ − 4x² + 2)
slope= 3x² - 8x
slope= 3* 3* 3 -8*3
slope= 27-24
slope= 3
Learn more about the slope here:
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can you please help me find the area. I put 141 but it says that i am wrong. Can anybody help and say what i did wrong.
Answer:
3120 think
Step-by-step explanation:
i just did 3x8x10x13
If 46 is 23% how much is 100%
100% = 200
hope it helps..!!!
Find the value of b that would cause the graph of f(x)=b^x to look like the graph with points (0,1) and (2,25)
I am having trouble with this one.
[tex]f(x)=a(b)^x \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x}{0}~~,~~\stackrel{y}{1})\qquad 1=a(b)^0\implies 1=a~\hfill \underline{f(x)=1(b)^x} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x}{2}~~,~~\stackrel{y}{25})\qquad 25=1(b)^2\implies 25=b^2\implies \sqrt{25}=b\implies 5=b \\\\[-0.35em] ~\dotfill\\\\ f(x)=1(5)^x\implies \underline{f(x)=5^x}[/tex]
Select the equivalent expression.
(25-23)=?
Choose 1 answer:
28.29
a15 26
a8.26
a15 2²
Urgent please help
what’s the height of the cylinder? Is it 6? Or do i have to find it with the 17. Is it 10?
PLS HELP
Answer:
Cylinder height = 10
Semi-circle height = 3
Cone height = 4
Step-by-step explanation:
The height of the cylinder is always going to be the long side. 6 is the diameter of its circle. Here is a list of variables:
Diameter, D = 6
Radius, r = 3
Slant height of cone, c = 5
To find the height of the cylinder, we will need to find the height's of the cone and semi-circle:
CONE (see image attached)
a² + b² = c²
3² + h² = 5²
h² = 25 - 9
h = √16
h = 4
SEMI-CIRCLE
h = radius
h = 3
CYLINDER
Cylinder height = total h - semi-circle h - cone h
h = 17 - 3 - 4
h = 10
I'm not sure if you're trying to solve for volume, so I'll end it here LOL. Hope this helps and have a great evening!
Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)
A). (tan(x) − 4)(9 sin^2(x) − 1) = 0
B). 3 sin(2x) − 4 sin(x) = 0
Answer:
Step-by-step explanation:
A)[tex](tanx-4)(9sin^2x-1)=0\\\\\\[/tex]
[tex]9sin^2x-1=0\\\\sin^2x=\frac{1}{9} sinx=\frac{1}{3}[/tex] or [tex]sinx=\frac{-1}{3}[/tex]
OR [tex]tanx=4\\[/tex]
B)
[tex]3sin2x=3.2.sinx.cosx\\\\6.sinx.cosx-4.sinx= 2sinx.(3cosx-2)=0\\\\3.cosx=2 cosx=\frac{2}{3}[/tex]
need help really please someone
Answer:
5/6 x 1 = 5/6 2/3 x 2= 4/6. 5/6 is greater than
2/3
Step-by-step explanation:
find a common denominator then see which one has more value
Carolyn bought 9 feet of copper pipe for 54$ what was the cost of each foot of copper pipe?
Answer:
54÷9= 6
so its $6 a foot of copper
A circular flower garden has a radius of 5 feet. Emma wants to put mulch in the flower garden. It costs $0.35 per square foot of mulch. How much will Emma spend to put mulch in the flower garden? Round to the nearest cent.
Pls pls help with this!
What equation represents the linear relationship in this graph?
A :y = 10x
B: y = 6x
C:y = 1/3x
D: y = 3x
Answer:
D: y = 3x
Step-by-step explanation:
The relationship shown is a proportion. The only "unknown" is the constant of proportionality, the slope of the line. That is most easily found by looking for the value of y that corresponds to the value x=1.
__
This graph shows that 1 song costs $3, so the equation is ...
y = 3x
eter and Area
5
Annita is sewing a lace edge around a rectangular quilt. She will need 160 inches of lace to do the entire quilt. If the quilt is 46
inches wide, how long is the quilt?
A. 32 inches
B. 34 inches
C. 80 inches
D.
68 inches
Reset
Submit
Answer:
B. 34 inches
Step-by-step explanation:
its 34 inches because you do 46x2 because of the two sides and you will get 92. Then subtract 92 from 160 to find out the other side and you will get 68. Then do 68÷2 because you have to find the other side and you will get 34
20. You may already use algebra in your daily life. How do you imagine that you will use basic algebraic equations in your healthcare career? Explain.
Depending on the path that we decide to take, the algebra can help us in many forms.
As an example in the pharmaceutical/medical area, the nurses and doctors use basic algebra formulas to calculate dosages on different drugs depending on variables such as the weigh of each patient (commonly expressed as X or Y).
They used to have some paper sheets with formulas for different drug preparations (liquid ones particularly) within hospitals to avoid errors in medication.
As a healthcare provider, it is important to be able to read vital signs. Many of these are expressed as algebraic equations. Such equations can also be important when it comes to administering the right doses of medicine or converting different units of measurement.
Can someone please answer the question in the photo attached below for me :) i would really appreciate it and i will also mark brainliest if answered correctly
Answer:x^5
Step-by-step explanation:
[tex]\sqrt[b]{x^a}[/tex] = x^(a/b)
[tex]\sqrt[6]{x^5}[/tex] = x^(5/6)
(x^(5/6))^7
multiply 7 by numerator 5
x^(35/6)
x^(35/6)
[tex](\sqrt[6]{x^5} )^7[/tex] expression can be written in rational exponent as [tex]x^\frac{35}{6}[/tex]
What is Expression?
An expression is combination of variables, numbers and operators.
The given expression is [tex](\sqrt[6]{x^5} )^7[/tex]
We have an exponential property [tex]\sqrt[b]{x^a} =x^\frac{a}{b}[/tex]
By using this property we solve the given expression [tex](\sqrt[6]{x^5} )^7[/tex]
We have to convert to rational exponent.
[tex](\sqrt[6]{x^5} )^7=(x^\frac{5}{6})^7[/tex]
=[tex]x^\frac{35}{6}[/tex]
Hence, [tex](\sqrt[6]{x^5} )^7[/tex] expression can be written in rational exponent as [tex]x^\frac{35}{6}[/tex]
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HELPPP MEE PLEASEEEEEEEEEE
Answer:
How many computers does my family own?
Step-by-step explanation:
A statistical question is one that can be answered by collecting data and where there will be variability in that data - Tasks
Brainliest?! :]
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answer:
Slope of parallel line:[tex]-1\frac{3}{5}[/tex]
Slope of perpendicular line: [tex]\frac{5}{8}[/tex]
Step-by-step explanation:
Because parallel lines have equal gradients, but perpendicular lines have gradients which equal to -1 when multiplied.
Hope it helps:)
Answer:
Slope of parallel line:[tex]-1\frac{3}{5}[/tex]
Slope of perpendicular line: [tex]\frac{5}{8}[/tex]
Type The Correct Answer,
Answer:
0.72 meters
Step-by-step explanation:
by dividing 6.48 by 9, we get 0.72 meters
Answer:
here
Step-by-step explanation:
A ABC = ADEF. What is the measure of AB?
D
24 cm
16 cm
E
20 cm
F
OA) 16 cm
OB) 20 cm
OC) 24 cm
D) 36 cm
A can is shaped like a cylinder 5.2 cm wide and 2.3 cm tall. find the volume of the nearest tenth. use 3.14 for pie.
Please help me!!
30 points for it!!!!!!!!!!
Answer: 48.8
Step-by-step explanation: The equation for the area of a circle is π*r², since the base of a cylinder is a circle we take the equation of a circle and multiply the height of the cynlinder by using the equation π*r²*h to get the volume of a cylinder. In this case our factors are
π= 3.14
r²= 6.76
h=2.3
3.14*6.76*2.3=48.82072
rounded to the nearest tenth=48.8
Answer: the answer is 48.8
The average mass of a grain of sand from
a certain beach is 9 × 10-8 kilograms.
What is this value in grams? Give your
answer in standard form.
Answer:
0.0009 grams
Step-by-step explanation:
The mass of the grain sand is:
[tex]9 \times {10}^{ - 8} \: Kg[/tex]
To convert kilograms to grams we divide by 1000 (1 × 10³)
[tex] \frac{9 \times {10}^{ - 8} }{1 \times {10}^{3} } [/tex]
Which gives us:
[tex]9 \times {10}^{ - 5} [/tex]
[tex]9 \times {10}^{ - 5} = 0.0009 \: g[/tex]
write 82/10 as a mixed number in simplest terms brainly
A) 8 2/10
B) 10 1/4
C) 8 1/5
D) 2 4/5
Answer:
C) 8 1/5
Step-by-step explanation:
82/10= 8 2/10= 8 1/5
Answer:
A) 8 2/10
Step-by-step explanation:
10 goes into 82 8 times with a remainder of 2
Find each difference vertically.
3. (2x ^2 – 2x ^4) — (x4 – x2)
Answer:
answer: -2x^4 +2x^2-2x