Answer:
28.35 each adult
Step-by-step explanation:
What sentence represents this equation? 912=15−x 912 is the same as a number decreased by 15. 15 decreased by 912 is the same as a number. A number is the same as the difference of 15 and 912. 912 is the same as 15 decreased by a number.
9 1/2 is the same as a number decreased by 15
I guess that's the right answer maybe i'm wrong if I am oh well
what is 4a-6b+9c + 5a+9b-3c
Answer:
9a + 3b + 6c
Step-by-step explanation:
4a-6b+9c + 5a+9b-3c
4a + (-6b) + 9c + 5a + 9b + (-3c)
(4a + 5a) + (-6b+9b) + (9c-3c)
9a + 3b + 6c
Answer:
the person below is correct I believe
Step-by-step explanation:
hope this helped have a good rest of your night :)❤
Integrate :
[tex]\red{\footnotesize\displaystyle\bf \int cos^3 4x\:\:dx}[/tex]
Recall the half-angle identity for cosine:
cos²(x) = 1/2 (1 + cos(2x))
Then we can rewrite the integrand as
cos³(4x) = cos(4x) cos²(4x) = 1/2 cos(4x) (1 + cos(8x))
So we have
[tex]\displaystyle \int \cos^3(4x) \, dx = \frac12 \int (\cos(4x) + \cos(4x)\cos(8x)) \, dx[/tex]
Next, recall the cosine product identity,
cos(a) cos(b) = 1/2 (cos(a - b) + cos(a + b))
so that the integral is equivalent to
[tex]\displaystyle \int \cos^3(4x) \, dx = \frac12 \int \cos(4x) \, dx + \frac14 \int (\cos(4x - 8x) + \cos(4x + 8x)) \, dx[/tex]
[tex]\displaystyle \int \cos^3(4x) \, dx = \frac34 \int \cos(4x) \, dx + \frac14 \int \cos(12x) \, dx[/tex]
Computing the rest is trivial:
[tex]\displaystyle \int \cos^3(4x) \, dx = \boxed{\frac3{16} \sin(4x) + \frac1{48} \sin(4x) + C}[/tex]
What is the answer =2^3(10-7)/3*7?
Answer:
the ansewer is 56
Step-by-step explanation:
by appling bodmas rule which means if such type of operation apper in one question we work it step by step first bracket then division next multiplication then addition finaly substruction 2^3(10-7)/3*7(10-7)=32^3(3)/3*73/3=12^3*1*72^3=88*1*7=8*7=56Assume that a set of test scores is normally distributed with a mean of 80 and a standard deviation of 10.
Use the 68-95-99.7 rule to find the following quantities.
a. The percentage of scores less than 80 is _%.
Answer:
I don't know
Step-by-step explanation:
What is (−47)−(−107)=?
please help
60
Step-by-step explanation:
(-47)-(-107)
(-47)-1(-107)
-47+107
=60
How would I simplify these expressions? (Pre-Calculus) I know that you are supposed to multiply all of these to do so, but every time I do that, I still get the wrong answer. My textbook says that these are the answers:
19: -15 + 8i
21: 8 + 6i
23: 34
25: 85
Could anyone explain how they got these answers? Mine are way off. Is the book just wrong? In #21, how would 3 times 3 equal 8 in the answer? Am I missing something?
Since you have the answers, I'll just show the steps on how to get there.
============================================================
Problem 19
[tex](1+4i)^2\\\\(1+4i)(1+4i)\\\\1*1 + 1*4i + 4i*1 + 4i*4i\\\\1 + 4i + 4i + 16i^2\\\\1 + 4i + 4i + 16(-1)\\\\1 + 4i + 4i-16\\\\(1-16) + (4i+4i)\\\\(1-16) + (4+4)i\\\\-15 + 8i\\\\[/tex]
Keep in mind that [tex]i = \sqrt{-1}[/tex] by definition. Squaring both sides leads to [tex]i^2 = -1[/tex]
In the second step, I used the idea that x^2 = x*x. Right after that, I used the FOIL rule to expand everything out.
============================================================
Problem 21
We could follow the same idea as problem 19, but I'll use a different approach.
[tex](A+B)^2 = A^2+2AB+B^2\\\\(3+i)^2 = 3^2 + 2*3*i + i^2\\\\(3+i)^2 = 9 + 6i - 1\\\\(3+i)^2 = 8 + 6i\\\\[/tex]
The formula on the first line is the perfect square binomial formula.
============================================================
Problem 23
The FOIL rule can be used if you want, but I'll use the difference of squares rule instead.
[tex](m+n)(m-n) = m^2 - n^2\\\\(3+5i)(3-5i) = (3)^2 - (5i)^2\\\\(3+5i)(3-5i) = 9 - 25i^2\\\\(3+5i)(3-5i) = 9 - 25(-1)\\\\(3+5i)(3-5i) = 9 + 25\\\\(3+5i)(3-5i) = 34\\\\[/tex]
It turns out that multiplying any complex number of the form a+bi with its conjugate a-bi will result in a purely real number (that has no imaginary part). More specifically: [tex](a+bi)(a-bi) = a^2+b^2[/tex]
============================================================
Problem 25
We could use the difference of squares rule again, but I'll show a different approach. This time using the distribution rule. The FOIL rule could also be used if you wanted.
[tex](6+7i)(6-7i)\\\\x(6-7i)\\\\6x-7xi\\\\6(x)-7i(x)\\\\6(6+7i)-7i(6+7i)\\\\6(6)+6(7i)-7i(6)-7i(7i)\\\\36+42i-42i-49i^2\\\\36-49(-1)\\\\36+49\\\\85\\\\[/tex]
I used x = 6+7i and the substitution property to help distribute. Lines 3 and 6 are where distribution is applied.
Which equations are true? Select all that apply.
A.
66
÷
10
1
=
6
.
6
B.
660
÷
10
0
=
66
C.
6
,
600
÷
1
,
000
=
0
.
66
D.
0
.
66
÷
10
1
=
0
.
066
E.
6
÷
100
=
0
.
06
Answer:
a b d e
Step-by-step explanation:
i just took the test and got a hundred
Equations A, B, and E are true, i.e 66: 10 = 6.6, 660: 10° = 66, 6: 100 = 0.06.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
Make sure your equation is correct by comparing the values on either side of the equals sign to create a true equation. A true equation must have the same numerical values on both sides of the "=" sign. One real equation is, for instance, 9 = 9. A valid equation is 5 + 4 = 9.
As a result, the true equations are,
66: 10 = 6.6
660: 10° = 66
6: 100 = 0.06
Thus, equations A, B, and E are true, i.e 66: 10 = 6.6, 660: 10° = 66, 6: 100 = 0.06.
Learn more about the equation here,
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A company that bakes chocolate chip cookies averages 5.2 chocolate chips per cookie. Assume that the number of chocolate chips per cookie follows the Poisson distribution. What is the probability that a randomly selected cookie will contain two or more chocolate chips
Answer 12
Step-by-step explanation:
A shipment of 12 microwave ovens contains three defective units. A vending company has ordered four units, and because each has identical packaging, the selection will be random. What is the probability that (a) all four units are good, (b) exactly two units are good, and (c) at least two units are good?
I hope that helped?
The area of a triangular flower bed in the park has an area of
120 square feet. The base is six feet shorter than three times the height. What are the base and height of the triangle?
Answer:
b = 24 ft
h = 10 ft
Step-by-step explanation:
120 = ½hb
120 = ½h(3h - 6)
240 = h(3h - 6)
240 = 3h² - 6h
80 = h² - 2h
0 = h² - 2h - 80
0 = (h - 10)(h + 8)
h = 10 ft or -8 ft
we ignore -8 as it makes no sense for a triangle side length.
b = 3(10) - 6 = 24 ft
30 POINTS WILL MARK BRANLIEST FOR FIRST REPLY
find x using the pictures below
The left pic :
[tex]x = 46 \times \cos(70°) [/tex]
[tex]x = 46 \times 0.342[/tex]
[tex]x = 15.732[/tex]
_____________________________________________
The right pic :
[tex] \tan(18°) = \frac{15}{x} \\ [/tex]
[tex]0.325 = \frac{15}{x} \\ [/tex]
Thus :
[tex]x = \frac{15}{0.325} \\ [/tex]
[tex]x = 46.1538[/tex]
There u go ...
Have a great day ❤
Find the value of x. Show all work.
(7x + 6)°
(6x - 7)º
Answer:
42x-42
Step-by-step explanation:
(7x)(6x)+(6)(-7)=42x°-42°
Why we often leave radicals as roots without calculating them?
Answer:
Sometimes it's better to leave them as roots because it's easier sometimes to solve problems with them still as roots
Answer:
We choose to leave radicals as roots without calculating them because calculating the square roots of a non perfect squares result in an irrational, non terminating decimal.
Step-by-step explanation:
Why do we do Radicals in the first place?
Radicals are used to write the square root or the nth root of a number. We sometimes leave specific numbers (non-perfect squares) as a radical because the output would be infinity
Example:
[tex]\sqrt45[/tex] is not a perfect square, it lies between [tex]\sqrt36[/tex] and [tex]\sqrt49[/tex]
This means the number lies in between 6 and 7
The true root of 45 is irrational. Recall that irrational numbers are numbers of non-perfect squares. [tex]\sqrt45[/tex] = 6.7082039.......
Simplify:
[tex]\sqrt 45 = \sqrt 9 * \sqrt 5\\[/tex]
[tex]= \sqrt3^2 * \sqrt 5\\\\ \\= 3\sqrt5[/tex]
We choose not to pursue simplifying this because [tex]\sqrt5[/tex] is irrational (square root of a non-perfect square)
Summary:
We choose to leave radicals as roots without calculating them because calculating the square roots of a non perfect squares result in an irrational, non terminating decimal.
-Chetan K
b ÷ 0.52 for b = 6.344
Answer:
the answer is 12.2
[tex] \frac{b}{0.52} \\ we \: know \: b = 6.344 \\ then \\ \frac{6.344}{0.52} \\ = 12.2[/tex]
Original Price of a computer $2,600.00 Tax:6.4%
Which inequality is graphed below?
A- y<1/4x-1
B- y>1/4x-1
C- y<_ 1/4x-1
D- y>_ 1/4x-1
Step-by-step explanation:
It is represented by ,
=> y ≥ 1/4x -1
1. If something gets 1 percent better each day, how long will it take it to become 100 percent better than it already is? Round to the nearest day.
2. How many times better will it be in 365 days? Round to the nearest percent.
Answer:
it would take 100 days for it to get better that just makes sense I think and for number two it would be 365% better
Step-by-step explanation:
Evaluate y=(-2)(x) + 4 when x=(-3).
Answer:
y = 10
Step-by-step explanation:
y = (-2)(x) + 4
y = (-2)(-3) + 4
y = 6 + 4
y = 10
1
4
3
Time (h)
2
.
3
Cars
Washed
6
9
12
a. Proportional?
b. Equation:
C. Number of hours:
3. Cars washed:
Step-by-step explanation:
Proportional = time/cars washed
= 1/3
no. of hours= 90hours
cars washed = 30 cars washed
Ellen solved the equation x2−5=59 using the following steps.
Review her work carefully, and then follow the instructions.
Line 1: x2−5=59
Line 2: x2−5+5=59+5
Line 3: x2=64
Line 4: x=8
Which statement identifies a mistake Ellen made, if any?
Answer:
c
Step-by-step explanation:
In Line 4, she forgot to take the negative square root, because squaring both 8 and −8 equals 64.
Find the area of the square below when it is increased by a scale factor of 3
Answer:
To find the area of a square with the scale factor of 3, you multiply the side lengths by 3, so (3*L)*(3*W)= Area of your square.
Step-by-step explanation: I hope that this helps, ask questions in the comments below.(if you have any).
The area of the imagined square will be 90 units² by increased with a scale factor of 3.
What is the scale factor?You must specify the extent of the shape's enlargement when describing one.
The scale factor is the ratio of two dimensions such that one figure is large and another is small.
As per the imagined square with dimensions of 10 units.
Applied the scale factor 3 in the length of the square(since it has only one dimension).
10 x 3 = 30 units.
Thus, each side of the square will be 30 units in length.
Hence "By adding a scale factor of 3, the envisioned square's area will expand to 90 units²".
To learn more about scale factors,
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A teacher printed 730 copies how long did it take to print
Answer:
Can you provide how long it took to print per copy
Step-by-step explanation:
Answer:
it will take him 50 min because their are 730 and that is lot so it will take him 50min
NEED HELP ASAP (WILL GIVD BRAINELST)
Answer:
5
Step-by-step explanation:
The answer is 60/12 becuase we can simfly both of theese mixed numbers into an improper fraction, wich will be 4/3*15/4. We do the multiplication, and we get 60/12. 60/12 can be simplifed to 5 becuase 60 divided by 12 is 5
Can you divide 45x676787? Q from khan academy Thanks!
Answer:
15227707.5
More info
Step-by-step explanation:
45x676787 the divide it by 2
Solve for w.
16w–w–12w–2w=13
w=
Answer:
w = win
Step-by-step explanation:
w=13
Answer:
w = 13
Step-by-step explanation:
16w - w = 15w
15w - 12w = 3w
3w - 2w = w
w = 13
Fill in the blank with a number to make a true statement. *
0.25 / ? = -0.25
help on math review edu
Answer:
Answer is A
Step-by-step explanation:
Subtract 47 from both sides to get 0
3x² - 18x - 42 = 0
Use Quadratic formula to get
[tex]3+\sqrt{23} \\3-\sqrt{23}[/tex]
Answer:
Step-by-step explanation:
Instruction
Active
Constructing Parallel Lines through a Given Point
ty
Construct a line through P that is parallel
to the given line by following these steps.
1. Construct a line through points
Q and P
make two pair of line segment of PQ andQP and construct use of a scale and the parallel line give the point name
A house has increased in value by 32% since it was purchased. If the current value is 561000 what was the value when it was purchased?
Answer:
$425000
Step-by-step explanation:
561000*100/132=425000
PlEase help you can edit the photo
Answer:
The ribbon costs 1.25 per meter
Step-by-step explanation:
5/4=1.25