A speaker is in the shape of a cube with an edge length of 3.5 inches. The speaker is sold in a package in the shape of a square prism with a base area of 16 in2 and a height of 4.25 inches. What is the surface area of the package
Step-by-step explanation:
A square prism is a three-dimensional cuboid where the base and top are equal squares and the remaining 4 faces are rectangles.
to get the surface area of the package (that square prism) the size of the content inside is irrelevant and only there to confuse us.
the package has a base area of 16 in².
that means it also has a top (or cover) area of the same size : 16 in².
as top and bottom are squares, that means their areas are the square of their side lengths.
therefore, the side length of such a square is
s = sqrt(16) = 4 in
now we know also the dimensions of the 4 rectangles that are the side areas (faces) : 4 in × 4.25 in
the area of such a rectangle is
4 × 4.25 = 17 in²
so, the total surface area is (top and bottom + 4 side areas)
2×16 + 4×17 = 32 + 68 = 100 in²
Please answer the question in the picture
Answer:
f(x)=2x+1
Step-by-step explanation:
gradient =(y2-y1)/(x2-x1)
(3-1)/(1-0)
=2
y=1
which side lengths form a right triangle ?
Answer:
I would use Pythagorean theorem To find the lengths and just plug in numbers from the answer choices.
Step-by-step explanation:
In triangle, ABC, sin A = 1/2b =20,and m
Answer:
here your answer
good luck
ok hi whats 7x + 7y pls give me the right answer i need at least a b or an a im in sixth grade so pls make me get or right
Answer:
7x + 7y = 7(x+y)
Step-by-step explanation:
Factor out 7 from the expression.
A student scores 74,87,68,63,76 on his last five exams. His teacher will drop the lowest grade to compute the student's average. What is the students average in the class ?
Answer: 76.25
Average is the sum of numbers divided by the number of numbers
74 + 87 + 68 + 76 = 305
305 / 4 = 76.25
Write the equation for the function graphed below.
The equation of the function graphed below is f(x) = a(x - 2)² - 3 since the vertex is at (2, -3).
We have,
From the graph given,
The vertex is at (2, -3).
Now,
The vertex form of a quadratic function is given by:
f(x) = a(x - h)² + k
Where (h, k) is the vertex of the parabola.
Given the vertex (2, -3), we can plug in the values of h and k into the vertex form:
f(x) = a(x - 2)² - 3
Thus,
The equation of the function graphed below is f(x) = a(x - 2)² - 3
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twenty seven out of forty dentists recommended a certain whitener for teeth. if 1080 dentists recommended the whitener in the survey, how many dentists were surveyed?
Answer:
1,600 dentists were surveyed in total.
Step-by-step explanation:
We can set up a proportion for this problem:
[tex]\frac{27}{40} = \frac{1080}{x}\\\\\\[/tex]
Now we can cross multiply:
[tex]27*x = 1080*40\\\\27x = 43,200\\\\27x/27 = 43,200/27\\\\x = 1,600[/tex]
1,600 dentists were surveyed in total.
1. One species of bamboo can grow at an average rate
of 60 centimeters per day. Assuming that the
bamboo plant maintains the average rate of
growth per day, how tall will the bamboo plant be
if it grows for:
a. 10 days?
b. 30 days?
c. one-half day?
Show step by step please
Write
17/3
as a mixed number.
O A. 3
O-B. 3
© C.53
O D. 53
Answer:
5 2/3
Step-by-step explanation:
15 ÷ 3 = 5.
with 2 leftover, you will have 2/3
5 + 2/3 = 5 2/3
Good Luck!
-kiniwih426
Answer:
I am not really sure about the answer choices, but the answer is 5 2/3
Step-by-step explanation:
17/3 - 3/3 = 1 14/3
14/3 - 3/3 = 2 11/3
11/3 - 3/3 = 3 8/3
8/3 - 3/3 = 4 5/3
5/3 - 3/3 = 5 2/3
Hopefully this helped!
Brainliest please?
Graph the function g(x) = 4x–7.
Answer:
two dots: (0, -7), (1, -3)
and it's the line
Step-by-step explanation:
just try x=0, g(x)=-7
and x=1, g(x)=-3
5 1/2x + 2/3x=37 what does x equal
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
Convert mixed numbers to improper fractions: [tex]5\frac{1}{2} =\frac{11}{2}[/tex]
[Formula to convert mixed to improper: [tex]a\frac{b}{c} =\frac{a * c+b}{c}[/tex]]
--
[tex]\frac{11}{2} x+\frac{2}{3} x=37\\\\[/tex]
--
Find least common multiplier of 2, 3: 6
[Multiply by LCM = 6]
--
Simplify: [tex]37x=222[/tex]
Divide both sides by 37
--
Which is then simplified to 6
Which of the following is the graph of y = -x^2 - 1?
sorry if it's confusing I just need help lol
Step-by-step explanation:
1urojwnsjsue929283837477393
3) At a school several teachers were holding a contest to see which class could earn the most trivia points. Mrs. Clawson's class scored 94 points. Mr. Grant's class earned 82 points. Mrs. Jones's class earned 94 and Mrs.Price's class earned 86. Determine the mean (rounded to the nearest tenth), median, mode and range of the number of points scored. Mean: Median: Mode: Range:
Answer:
Mean: 89
Median: 90
Mode: 94
Range: 12
PLEASE HELPPP!
assume the random variable X has a by normal distribution with the given probability of obtaining a success.  find the following probabilities, given the number of trials in the probability of obtaining a success. P(X < 5), n = 6, p = 0.7
Answer:
-7
Step-by-step explanation:
Plz help! Plzzzzz Solve systems of Equations by substitution
y= 5x - 7
-3x - 2y = -12
Slove step by step
Answer:
(2,3)
Step-by-step explanation:
- Substitute the equation for y instead of the y variable.
-3x - 2(5x - 7) = -12
-3x - 10x + 14 = -12
-13x = -26
x = 2
- Now substitute the value of x into the other equation.
y = 5x - 7
y = 5(2) - 7
y = 10 - 7
y = 3
Answer:
x = 2 and y = 3
Step-by-step explanation:
y = 5x - 7
-3x - 2y = -12
Substitute y into the second equation:
-3x - 2(5x-7) = -12
Simplify:
-13x = -26
x = 2
Substitute x into the first equation:
y = 5(2) - 7
y = 10 - 7
y = 3
18,234.9+516.1 show your work
Answer:
18,751
Step-by-step explanation:
18 234 . 9
516 . 1
----------------
18 751 . 0
----------------
Answer:
18,751
Step-by-step explanation:
18,234.9+516.1=18,751
the coeffient of variation, expressed as a percent, is used to describe the standard deviation relative to the mean. It allows us to compare variability of data sets with different measurement units and is calculated as coefficient of variation =100(s/x) Find the coefficient of variation for the following sample weights in pounds 130,127,186,105,197,153,172,150,116,125
The required coefficient of variation 23.44.
What is sample space?
A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space.
Given that,
The coefficient of variation for the sample,
CV = 100(s/x),
Where s is the standard deviation and x is the mean,
According to the provided formula,
The mean weight is 143.5 pounds,
And the standard deviation is 33.65 pounds.
Thus, after entering those values:
CV = 100 * (33.65/143.5)
CV ≈ 23.44
Therefore, for the sample weights in pounds that is given, the coefficient of variation is roughly 23.44.
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Un empresario compró 1000 tabletas a $1500 cada una. Vendió 450 de ellas obteniendo una
ganancia del 25%.
¿ A qué precio deberá vender las otras 550 restantes si la utilidad promedio del lote completodebe ser del 40%?
Answer:
Step-by-step explanation:
1000($1500(0.40)) = $600 000
450($1500(0.25)) = $168,750
600,000 - 168,750 = $431,250
$431,250 / 550 = 784.0909090... $784.09
$1500 + $784.09 = $2,284.09
Hello for the millionth time again, need help on this badly, pls.
1. Amber started a new job with an annual salary of P250 000 in year 2014. Ifshe receives P6 000
raise each year, how much will her annual salary be in 2015, 2016, 2018, 2020, and 2021?
. If there are 200 bacteria at the end of the first day, how many bacteria willthere be after 2 days,
after 4 days, after 5 days, after 6 days and after 7days if the bacteria triple in number every day?
Answer:
See belowStep-by-step explanation:
The first part solved only. The second part is incomplete.
Using the information we build the equation for salary calculation:
S(x) = (x - 2014)*6000 + 250000, where S is the annual salary at year x, provided x > 2014Use the equation and work out salary:
S(2015) = 1*6000 + 250000 = 256000S(2016) = 2*6000 + 250000 = 262000S(2018) = 4*6000 + 250000 = 274000S(2020) = 6*6000 + 250000 = 286000S(2021) = 7*6000 + 250000 = 292000Select the two roots of (3x+7)(2x-5)=0
A= -7/3
B= 5/2
C= -5/2
D= 7/3
Thank you
Given
(3x + 7)(2x - 5) = 0
Equate each factor to zero and solve for x
3x + 7 = 0 ⇒ 3x = - 7 ⇒ x = - \frac{7}{3}
3\7
→ A
2x - 5 = 0 ⇒ 2x = 5 ⇒ x = \frac{5}{2}
2\5
→ B
NEED HELP PLEASE
Complete the table to find the pattern in the number of combinations.
Row 0 0C0 = 1
Row 1 1C0 = 1 1C1 = 1
Row 2 2C0 = 1 2C1 = ? 2C2 = 1
Row 3 3C0 = 1 3C1 =? 3C2 = ? 3C3 = 1
Row 4 4C0 = 1 4C1 = ? 4C2 = ? 4C3 =? 4C4 = 1
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The formula for nCk is ...
nCk = n!/(k!(n -k)!)
It always works out that nC0 = 1 and nC1 = n, and the sequence of numbers across a row of the diagram is symmetrical about the center.
This means you only need to calculate one value to finish filling your diagram.
4C2 = 4!/(2!(2!)) = (4·3)/(2·1) = 6
You will find the pattern to be ...
each element in the diagram is the sum of the two above it.
What is the answer please
Answer:
-2 < x < 4.5
Step-by-step explanation:
Step 1: Add 1 to all parts/sections.
[tex]-5+1<2x-1+1<8+1[/tex] [tex]-4<2x<9[/tex]Step 2: Divide all parts/sections by 2.
[tex]\frac{-4}{2}<\frac{2x}{2} <\frac{9}{2}[/tex] [tex]-2 < x < 4.5[/tex]Therefore, the range of possible values of x is -2 < x < 4.5.
Shamika's grandmother opens an account with a deposit of $5,000 for Shamika as a
college savings account. The account pays 5 percent annual interest. How much
money will be in the account after 10 years?
A. 8,954.24
B. 8,144.47
C. 8,052.55
D. 7,401.22
9514 1404 393
Answer:
B. $8,144.47
Step-by-step explanation:
The compound interest formula is ...
A = P(1 +r)^t
where r is the annual rate compounded annually for t years, applied to principal P.
A = $5000(1 +0.05)^10 = $8144.47
After 10 years, there will be $8,144.47 in the account.
Find x. Make sure to round to the correct number of decimal places.
Answer:
Step-by-step explanation: the x is in the right
< :
Adding Unlike denominators 1/11 + 1/4
Answer: 15/44
Step-by-step explanation:
You have to make the denominators match so:
1/11(4) + 1/4(11)=
4/44 + 11/44=
15/44
2x=4x-8
Can someone help me solve for x
Answer:
2x=4x-8
or,2x-4x=-8
or,-2x=-8
or,x=-8/-2
or,x=4
therefore value of x =4
Need help on order of operations
Answer: p.e.m.d.a.s
Step-by-step explanation: parenthese, exponent, multiplication, division, addition, subtraction
Answer:
You can follow the P.E.M.D.A.S.
Step-by-step explanation:
If you need an explanation for this, the P.E.M.D.A.S are a way to remember the Order of Operations. We can explain this with a simple equation, such as:
4/2+(3*2)-2^2
To begin with, we need to start with the Parentheses. Three times two is equal to six, so now the equation looks like this:
4/2+6-2^2
After that, you need to move onto the Exponents. Two to the power of two (marked with the ^) is four, so we replace 2^2 with a 4.
4/2+6-4
Next, we do the Multiplication and the Division. Since there's no multiplication involved with this particular problem, we'll go right onto the division. 4/2 is equal to two, so you replace that with a simple 2.
2+6-4
Now, lastly you wrap up by doing the Addition and the Subtraction. 2+6-4 is equal to 8-4, and the answer is ultimately 4. A reminder is that you always need to go left to right no matter what or else your solution will most likely be wrong.
I hope this helps! Marking as Brainliest would be highly appreciated. Have a wonderful day. :)