Answer:
5x^2 + 13x
Step-by-step explanation:
Nick is painting his bedroom. Each of the four walls measures 10 feet by 14 feet. He will not paint the ceiling. What is the total area that Nick will paint?
Answer:
560 ft^2
Step-by-step explanation:
You need to find the surface area of the walls
wall 1 10*4 = 140
wall 2 10*4 = 140
wall 3 10*4 = 140
wall 4 10*4 = 140
140 +140 +140 +140= 560
Please help me with this question feedback would be appreciated!
Answer:
3/4
Step-by-step explanation:
There are 13 clubs in a standard 52-card deck
That means that 39 cards out of the 52 are not a club ( because 52-13=39)
So the probability of you not being dealt a club is 39/52 or 3/4
Who was one of the earliest non-king leaders of the Benin people?
A. Sakura
B. Oranyan
C. Ekewa
D. Sundiata
Answer:
the answer is d , sundiata!
Step-by-step explanation:
the
If you are given n=504n=504 and p=0.27p=0.27 for a binomial experiment, use the normal distribution to approximate P(x≤119)P(x≤119). Use continuity correction.
Answer:
[tex]X ≤ P(119) \rightarrow P(X < 119.5)[/tex]
Step-by-step explanation:
Given:
n = 504
p = 0.27
To Approximate:
P(x≤119) usimg normal distribution
Solution:
We know that,
[tex]p+q = 1\\q = 1-p\\q = 1 - 0.27 \\ \fbox{q = 0.73}[/tex]
let's find the mean,
[tex]n \cdot p = 500 \times 0.27 \\ n \cdot p = 135 \\ \mu \: = 135[/tex]
let's calculate standard deviation,
[tex] \sigma = \: \sqrt {n \cdot p\cdot q} \\ \sigma \: = \sqrt{504 \times 0.27 \times 0.73} \\ \sigma \: = 9.96[/tex]
Rewriting the equation using continuity correction,
[tex] P(X ≤ n) \rightarrow P(X < n + 0.5) \\ P(X ≤ 119) \rightarrow P(X < 119 + 0.5) \\ P(X ≤ 119) \rightarrow P(X < 119.5) \\ \fbox{x \: = 119.5}[/tex]
Some more things you must need to know,
standard score is an important part of statistics,
can be derived using formula
[tex]Z = \frac{ x - \mu}{ \sigma} \\ Z = \frac{ 119.5 - 135}{ 9.96} \\ Z= \frac{-15.5}{9.96} \\ \fbox{Z= -1.55}[/tex]
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You invested $5000 for 20 years at 7.25%. How much interest did you earn?
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$5000\\ r=rate\to 7.25\%\to \frac{7.25}{100}\dotfill &0.0725\\ t=years\dotfill &20 \end{cases} \\\\\\ I = (5000)(0.0725)(20)\implies I=7250[/tex]
3 Which list of integers is in order from
greatest to least?
A 24, 9, -33, -24, -11
B-11, -18, -33, 9, 24
C24, 9, -11, -24, -33
D-33, 24, -18, -11, 9. Which one is the answer
need help with geometry (number 23)
Answer: D
Step-by-step explanation:
Diagonals of a square are perpendicular, so the measure of angle 1 is 90 degrees.
system of equations using substitution method
3x+4y=-3 x+2y=-1
Answer:
[tex]{x,y}={-1,0}[/tex]
Step-by-step explanation:
System of Linear Equations entered :
[1] 3x + 4y = -3
[2] x + 2y = -1
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = -2y - 1
// Plug this in for variable x in equation [1]
[1] 3•(-2y-1) + 4y = -3
[1] - 2y = 0
// Solve equation [1] for the variable y
[1] 2y = 0
[1] y = 0
// By now we know this much :
x = -2y-1
y = 0
// Use the y value to solve for x
x = -2(0/32765)-1 = -1
Solution :
{x,y} = {-1,0/32765}
Answer:
[tex]\boxed{\sf{x=-1 \quad y=0 \quad (-1,0)}}[/tex]
Step-by-step explanation:
Isolate the term of x and y from one side of the equation.
3x+4y=-3 and x+2y=-1[tex]\Longrightarrow: \sf{3x+4y=-3 \quad x=\dfrac{-3-4y}{3} }[/tex]
You have to substitute.
[tex]:\Longrightarrow \sf{\dfrac{-3-4y}{3}+2y=-1}[/tex]
Solve.
[tex]\sf{\dfrac{-3+2y}{3}=-1}[/tex]
[tex]\sf{\dfrac{-3-4y}{3}}[/tex]
y=0
For y=0.
[tex]\Longrightarrow: \sf{x=\dfrac{-3-4*0}{3}}[/tex]
Solve.
PEMDAS stands for:
ParenthesesExponentsMultiplyDivideAddSubtract-3-4*0/3
Multiply.
4*0=0
-3-0
Add/subtract the numbers from left to right.
-3-0=-3
-3/3
Divide.
-3/3=-1
x=-1
Therefore, the final answer is x=-1 and y=0.
I hope this helps. Let me know if you have any questions.
The resistance, R, of a wire varies directly as its length
and inversely as the square of its diameter. If the
resistance of a wire 300 ft long with a diameter of
0.09 inches is 17113 ohms what is the resitance of
900 ft of the ame type of wire with a dister of
0.39 inches
Round off your final answer to the nearest hundredth.
Answer:
2733.73
Step-by-step explanation:
[tex]r = \frac{kl}{ {d}^{2} } [/tex]
[tex]17113 = \frac{300k}{ {0.09}^{2} } [/tex]
[tex]k = 0.462[/tex]
[tex]r = \frac{0.462 \times 900}{ {0.39}^{2} } [/tex]
[tex]r = 2733.73[/tex]
[tex]\qquad \qquad \textit{combined proportional variation} \\\\ \begin{array}{llll} \textit{\underline{y} varies directly with \underline{x}}\\ \textit{and inversely with }\underline{z^5} \end{array} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}x}{z^5}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\begin{array}{llll} \textit{\tiny "R" varies directly}\\ \textit{\tiny with "L" and inversely}\\ \textit{\tiny as the square of "d"} \end{array}~~R=\cfrac{kL}{d^2}\qquad \qquad \textit{we also know that} \begin{cases} L=300\\ d=0.09\\ R=17113 \end{cases} \\\\\\ 17113=\cfrac{k(300)}{0.09^2}\implies 17113(0.09^2)=300k \\\\\\ \cfrac{17113(0.09^2)}{300}=k\implies 0.462051 = k~\hfill \boxed{R=\cfrac{0.462051L}{d^2}}[/tex]
[tex]\textit{when L = 900 ft and d = 0.39 in, what is "R"?} \\\\\\ R=\cfrac{0.462051(900)}{0.39^2}\implies R\approx 2734.03[/tex]
Suppose the sales tax in your town is 4%. What are the interpretations of this ratio?
Select all that apply.
DA. You will pay $40 in sales tax for every $1,000 purchase.
B. You will pay $4 in sales tax for every $10 purchase.
c. You will pay 40 cents in sales tax for every $1 purchase.
D. You will pay $4 in sales tax for every $1,000 purchase.
E. You will pay 4 cents in sales tax for every $1 purchase.
F. You will pay $40 in sales tax for every $100 purchase.
G. You will pay 4 cents in sales tax for every $10 purchase.
H. You will pay 40 cents in sales tax for every $10 purchase.
Answer:
A) {DA???} 0.04x1000=40. Yes
B) 0.4x10 is 4, NOT 0.04. No
C)0.4x1 is 0.4, NOT 0.04. No
D) No
E) Yes
F) No
G) Yes
H) No
A perimeter of a square field is 160, what is the area of that field?
Answer: 1,600 sq units.
Step-by-step explanation: The perimeter of a square field is 160. When finding the perimeter of a square, all sides are the same, so you're adding four sides that have the same number to make 160. You can add 40 four times to make 160, so that gives us a hint of what all the square's sides are, which are 40. To find the area of a square, you need to multiply one side by the other. All sides of the square are 40, so we'll multiply 40 two times to make 1,600 sq units. Therefore, 1,600 sq units is your answer.
Have a great day! :)
i need help solving for x. with pythagorean theorem.
Answer:
[tex]14 \sqrt{3} [/tex]
Step-by-step explanation:
Here you use the 30-60-90 triangle
Note that the side length opposite of the 60 degree triangle is root of 3 times greater than the side opposite of the 30 degree angle.
Here, x is the opposite of 60 degree angle.
7 times root of 4 is opposite of the 30 degree angle,
So we have
So this means
[tex]7 \sqrt{4} \times( \sqrt{3} ) = x[/tex]
Note that
[tex]7 \times \sqrt{4} = 7 \times 2 = 14[/tex]
So we have
[tex]14 \sqrt{3} = x[/tex]
Calculate the following measures:
angle PSQ = 65 (central angle is 130, which means arc PQ is 130, and half of the arc is the inscribed angle)
angle AQS = 35 (congruent to angle SPR)
arc QR = 50 (180-130)
arc RS = 70 (35*2=70)
arc PS = 110 (35*2, making arc SR 70, subtract all arcs from 360 to get 110.
If this helped you, I would appreciate it if you gave me brainliest :D
Which equation is a step in solving the equation |5 − 3x| + 2 = 19? A. 5 − 3x = -17 B. |5 + 3x| = 17 C. 5 + 3x = -17 D. |5 − 3x| = -17
Did the math for you.
[tex]|5 - 3x| + 2 = 19\\|5 - 3x| = 17\\(|5 - 3x|) = 17^2\\25 -15x -15x + 9x^2 = 289\\25 - 30x + 9x^2 -289 = 0\\9x^2 - 30x - 264 = 0\\3(x + 4)(3x - 22)[/tex]
which number doesn't belong?
21, 18, 16, 7, 6
18, 10, 13, 11, 16
2, 16, 9, 7, 17
11, 16, 4, 8, 2
6, 9, 11, 15, 18
19, 9, 14, 8, 11
Answer:
21
Step-by-step explanation:
Most of the numbers are within the same range. Then you have 21 which is slightly out of range from the next highest 19.
How many TRIANGLES can be constructed with angles measuring 110°, 50°, and
10°?
In order to prove mastery please explain how you know
Answer:
You can't cconstruct any triangle
Step-by-step explanation:
110+50+10=170 A triangle always has 180º
Please help will give brainliest
Answer:
<1=104
<2=76
<3=76
<4=104
<5=104
<6=76
<7=76
<8=104
Step-by-step explanation:
So, the angles are all vertical to the one across it.
That makes <2 to be 76.
76(2)+2(<1)=360,
2(<1)=208
<1=104
You also know that the two lines are parallel, making the ones above/below it equal.
That makes <7 AND <6 to be 76 as well.
find the sum of the first 7 terms of the following series 10,4,8/5
Answer:
16.6
Step-by-step explanation:
Since the numbers are decreasing as multiples, its a geometric progression.
[tex]S_{n}=\frac{a(1-r^{n} )}{1-r} ; r\neq 1 \ and\ r \ is\ less\ than\ 1\\common\ ratio=\frac{4}{10}=\frac{2}{5}\\ S_{7}=\frac{10(1-(2/5)^{7} )}{1-(2/5)} \\=16.6[/tex]
IM STUCK CAN SOMEBODY HELP ME
Answer:
-16.15
Step-by-step explanation:
the variable in the equation means that it is ever changing, in this case, ever decreasing.
The mean of the values in a data set is c. If each of the values in the data set
a
were multiplied by 6, what would be the mean of the resulting data?
O A. 5c
O B. 6c
ос. 7с
D. C
Answer:
B 6c.
Step-by-step explanation:
The mean will be c multiplied by 6.
mrs. vickers is covering her students work table with chalkboard paper. the table is a radius of 3.8 ft. How much paper will she need?
Answer:
How might the situation lead to bullying?
How might the situation lead to bullying?
How might the situation lead to bullying?
How might the situation lead to bullying?
Step-by-step explanation:
In ΔGHI, the measure of ∠I=90°, IH = 11, HG = 61, and GI = 60. What is the value of the sine of ∠G to the nearest hundredth?
Answer: 0.18
Step-by-step explanation:
Using the sin rule:
11/sin(∠G) = 61/90
sin(∠G) = 11/61
sin(∠G) = 0.18°
Therefore, the value of angle G is 0.18 degrees
If the standard quota for how many new schools will open in the 5 boroughs are:
Bronx: 20.73
Brooklyn: 10.12
Queens: 35.46
Manhattan 25.16
Staten Island 5.44
Use Jefferson's plan to apportion the Bronx quota.
The apportion of Bronx quota is the alloted profit to Bronx
The apportion for Bronx quota is 20
How to apportion the Bronx quota?The dataset is given as:
Bronx: 20.73Brooklyn: 10.12Queens: 35.46Manhattan 25.16Staten Island 5.44From the dataset, we have:
Bronx: 20.73
Remove the numbers after the decimal point
Bronx = 20
Hence, the apportion for Bronx quota is 20
Read more about quota at:
https://brainly.com/question/1499498
Right answer = brainliest! :>
The radius of a cylindrical construction pipe is 2.5 ft. If the pipe is 20 ft. long, what is its volume?
Use the value 3.14 for pi, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answer:
Answer: The volume of the pipe is 412 cubic feet
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a cylinder = π x radius² x height (Length in this case)
Replacing with the values given:
V = 3.14 (2.5)² 21 = 3.4 (6.25) 21 = 412.12 = 412 cubic feet (rounded)
In conclusion, the volume of the pipe is 412 cubic feet
Feel free to ask for more if needed or if you did not understand something.
Answer:
V = 392.5 cubic feet
Step-by-step explanation:
[tex]v=\pi r^{2} h=\pi (2.5)^{2} (20)=\pi (6.25)(20)=125\pi[/tex]
[tex]\pi =3.14[/tex]
[tex]v=392.5cu.ft[/tex]
Hope this helps
Please help!!!! I stuck in this
Match each value to what it represents. 25 = 32 1. 32 power 2. 5 exponent 3. 2 base
Answer:
The power is 32 because that is what 2 to th 5 is , 2 is the base as its the number being multiplied 5 times which leaves 2 as the exponent.
inequality? 6(x - 2) + 21 <39
A x < 5
C X> 3
B x >5
D x <3
Answer:
A. X < 5
Step-by-step explanation:
6(x -2) + 21 < 39
6x - 12 + 21 < 39
Group like terms
6x < 39 + 12 - 21
6x < 30
Divide through by 6
X < 30/6
X < 5
Which fraction is the largest 10/13, 11/14, 14/15 or 17/18
PLEASE HELP MEEEEEEE
Answer: (2,2)
Step-by-step explanation:
A tree of 14m height is broken by the wind so that its top touches the ground and makes an angle of 60° with the ground. Find the length of the broken part of the tree.
Please help me,
I'll will mark as BRAINLIEST...
Answer:
7.50 m
Step-by-step explanation:
The side lengths of the "special triangle" with angles 30°-60°-90° have the ratios 1 : √3 : 2. These ratios can be used to solve the problem.
__
The parts of the tree of interest correspond to the long side and the hypotenuse of a 30-60-90 triangle.
In terms of the above ratio units, the fraction of tree height that is broken off is ...
[tex]\dfrac{\text{hypotenuse}}{\text{hypotenuse $+$ long side}}=\dfrac{2}{2+\sqrt{3}}\approx0.535898[/tex]
So, the length of the broken part of the tree is ...
0.535898 × 14 m ≈ 7.50 m