Answer:
Step-by-step explanation:
1+cos 2a=2cos^2a
cos a=√[(1+cos 2a)/2]
[tex]put~a=\frac{\pi }{8} \\2a=\frac{\pi }{4} \\\\cos\frac{\pi }{8} =\sqrt{\frac{1+cos \frac{\pi }{4} }{2} } \\=\sqrt{\frac{1+\frac{\sqrt{2}}{2} }{2} }\\=\frac{\sqrt{2+\sqrt{2}}}{2}[/tex]
Mangoes cost $4 each and nectarines cost $2 each. Dominic buys m mangoes and n nectarines for $32.
Fill in the missing values to write an equation for the information given.
Answer: 6m+4n=32
Step-by-step explanation:
m=4
n=2
From this, we can deduce that m+n=32.
6*4=24 and 4*2=8. 24+8=32
So, 6m+4n=32. Hope this was what you were looking for!
10. The translation (x, y) = (x + 10, y-6) is applied to ABC to create a new image A'B'C'. Graph
A'B'C' on the coordinate plane.
Answer:
here you go mate.
These are the solutions
1. Emma Lee needs a new road bike. The sale price is 10% lower than the original price. The sale price is $450. Write and evaluate an expression for the original price. Uses for sale price and p for original price.
100-10=90%=SP
[tex]\\ \sf\longmapsto 90\%\times x=450[/tex]
[tex]\\ \sf\longmapsto \dfrac{90}{100}x=450[/tex]
[tex]\\ \sf\longmapsto x=450\times \dfrac{100}{90}[/tex]
[tex]\\ \sf\longmapsto x=5(100)[/tex]
[tex]\\ \sf\longmapsto CP=500[/tex]
dentify the error in finding the distance between A(6,2) and B(1,−4).
How many decimal places does
0.005011
have please? :)
Answer:
6
Step-by-step explanation:
6 decimal places
0.005011 has six decimal places.
What is a decimal place?
'The place value of a decimal number is recognized according to the position of the dot or decimal point. The first digit to the right of the decimal point indicates the number of tenths and the second digit to the right indicates the number of hundreths.'
According to the given problem,
For the number 0.005011, after the decimal there are numbers up to the sixth place which is that there are six numbers.
For counting decimal places, we need to count the number of digits present to the right of decimal point.
Hence, we can conclude that 0.005011 has 6 decimal places.
Learn more about decimal places here:
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What is the answer ?
Answer:
70 seconds
Step-by-step explanation:
first we'll divide seconds by shirts 28/2 to find out how long it takes to do one shirt. it takes Jonah 14 seconds to do 1 shirt so we can then multiply that by 5 shirts to get 70 seconds
Which expression has a value of 48?
A . (16−8)×(2+4)
B . 16−(8×2+4)
C . 16−8×(2+4)
D . (16−8)×2+4
Step-by-step explanation:
(16-8)x(2+4)
= 8x(6)
= 8x6
= 48
if (x+30°) and (180°-2x) are vertically opposite angles . Find the value of x .
Answer:
50
Step-by-step explanation:
x + 30 = 180 - 2x [vertically opposite angles]
x = 180 - 30 - 2x
x = 150 - 2x
x + 2x = 150
3x = 150
x = 150/3
x = 50
10.
What is the volume of the rectangular prism?
3.in.
4 in.
52 in.
Answer
(3.5 times 5.25) times 4
Step-by-step explanation:
then convert the decimal to a fraction.
A sample is taken from all students in the art department. Students who wear
glasses are excluded. What is this an example of?
A. Selection bias
B. Nonselection bias
C. Nonresponse bias
D. Response bias
SUBMIT
Answer:
A. Selection Bias
Step-by-step explanation:
Selection bias is the bias introduced by the selection of individuals, groups, or data for analysis in such a way that proper randomization is not achieved, thereby ensuring that the sample obtained is not representative of the population intended to be analyzed. This is represented by choosing the students without glasses.
Answer:
selection bias
Step-by-step explanation:
i got it right
6-r+3r=4 solve for r
Answer:
r=-1
Step-by-step explanation:
6-r+3r=4
or, 6+2r=4
or, 2r=-2
or, r=-1
What letter stays the same when reflected over the x-axis
When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.p explanation:
IF ONE THIRD OF THE SCHOOL STUDENTS LIKE MATHEMATICS AND 400 STUDENTS DO NOT LIKE MATHEMATICS , THEN HOW MANY STUDENTS DOES THE SCHOOL HAVE ?
A. 600 B. 800
C. 200 D. 1000
Answer:
There are 600 students in this school.
Step-by-step explanation:
Let p represent the total population of the school.
Then (1/3)p represents the number of students who like math. Subtracting this (1/3)p from p gives an expression representing those who do not like math:
p - (1/3)p = (2/3)p
400 students do not like math, so (2/3)p = 400.
Solve this for p by multiplying both sides by (3/2):
(3/2)(2/3)p = (3/2)(400), which simplifies to p = 600.
There are 600 students in this school.
You are making a smoothie that calls for 1/4 cup of yogurt. This only makes enough for 1 person and we need enough for 6 total people. How much
yogurt should you add
Answer:
Step-by-step explanation:
1 2/4
Well an easy way to solve this would be multiply it by 6. 1*6=6 and 4*6=24.
That would be enough for 6 people. Or you could do. 1/4+1/4+1/4+1/4+1/4+1/4 and get the same answer.
Hope this helps and if possible brainliest please?
Write a quadratic equation in standard form that has roots of -12 and 2
Answer:
x² + 10x - 24
Step-by-step explanation:
Given the roots are x = - 12 and x = 2 then the corresponding factors are
(x + 12) and (x - 2) and their product equals zero , that is
(x + 12)(x - 2) = 0 ← expand using FOIL
X² + 10X - 24 = 0
Using exponential notation
Hello there!
Law of Exponent
[tex] \displaystyle \large{ {a}^{ \frac{m}{n}} = \sqrt[n]{ {a}^{m} } }[/tex]
The first problem asks us to write the cube root of 17 in exponential form. Refer the exponent's law above.
[tex] \displaystyle \large{ \sqrt[3]{17} = \sqrt[n]{ {a}^{m} } }[/tex]
Compare the terms.
a = 17m = 1n = 3Hence,
[tex] \displaystyle \large{ \sqrt[3]{17} = {17}^{ \frac{1}{3} } }[/tex]
The second problem asks us to write 13^{1/2} in radical form. Refer the law above.
[tex] \displaystyle \large{ {13}^{ \frac{1}{2} } = {a}^{ \frac{m}{n} } }[/tex]
Compare the terms.
a = 13m = 1n = 2Hence,
[tex] \displaystyle \large{ {13}^{ \frac{1}{2} } = \sqrt{13} }[/tex]
Conclusion
First answer is 17^{1/3}Second answer is √13Let me know if you have any questions!
Topic: Exponent / Fractional Exponent and n-th root /
The cube of the difference of a number and 4
Answer:
(x - 4)³
Step-by-step explanation:
"The cube of x" would be x³. The difference of a number and 4 would be x - 4.
Therefore, "the cube of the difference of a number and 4" would be
(x - 4)³
Y'ALL, WOULD A KIND SOUL PLEASE PLEASE HELP ME???!!!!!!!!!!! im running out of points
Complete the two-column proof below. The ‘reasons’ are already given, so only the mathematical ‘statements’ need to be completed.
show how you got your answer so I can see if it makes any sense!!!
1. ∠A and ∠B are complementary
2. ∠A + ∠B = 90° and ∠B + ∠C = 90°
3. ∠A = 90° - ∠B
4. ∠C = 90° - ∠B
5. ∠A ≅ ∠C
A bag contains yellow-blue-, orange-, green-, red- and black-colored crayons The table below shows the results of selecting one crayon from the bag, recording the color and then replacing the crayon. What is the experimental probability of selecting a crayon that is either orange or red?
which number has a 3 that is ten times greater than the 3 in 513
Answer:
5130
Step-by-step explanation:
You just multiply 513 by 10 to get 5130.
You can check this answer by just seeing if it fits the requirements, which it does. Making it the correct answer.
write each fraction number as a decimal write each fraction number as a decimal 4/33
What is the solution set to this equation?
log4 (x + 3) + log4x =1
A. x=0
B. x=1
C. x=1 and x= -4
D. x=-3 and x=0
Answer:
B
Step-by-step explanation:
Using the rules of logarithms
log x + log y = log (xy)
[tex]log_{b}[/tex] x = n , then x = [tex]b^{n}[/tex]
Given
[tex]log_{4}[/tex] (x + 3) + [tex]log_{4}[/tex] x = 1 , then
[tex]log_{4}[/tex] x(x + 3) = 1
x(x + 3) = [tex]4^{1}[/tex] = 4
x² + 3x = 4 ( subtract 4 from both sides )
x² + 3x - 4 = 0 ← in standard form
(x + 4)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 1 = 0 ⇒ x = 1
However, x > 0 , thus x = 1
tim x: 3x(x-2) + 2(2-x)=0
Answer:
Assuming this is the full problem.
3x^2-8x+4
Step-by-step explanation:
Write the rational numbers whose multiplicative inverse are themselves
Answer:
the rational numbers whose multiplicative inverse are themselves are 1& -1.hope it helps .stay safe healthy and happy.rovers,United and City are football teams
rovers scored x goals
United scored 8 goals more than rovers
City scored 3 goals less than twice the number of goals scored by rovers
the three teams scored a total of 117 goals
solve to find the value of x
Based on the information given, the value of x is 28 which means that Rovers scored 28 goals.
Number of goals scored by Rovers = x
United scored 8 goals more than rovers. This will be = x + 8
City scored 3 goals less than twice the number of goals scored by rovers. This will be: = 2[x} - 3 = 2x - 3
Since the three teams scored a total of 117 goals, this will be:
x + x + 8 + 2x - 3 = 117
Collect like terms
4x = 117 - 8 + 3
4x = 112
x = 112/4
x = 28
The value of x is 28
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Find the equation of the line that has the given properties. Express the equation in slope-intercept form.
Slope = -9; Y-intercept = 6
What is the equation of the line?
y =
Answer:
y = -9x + 6
Step-by-step explanation:
Slope-intercept form: y = mx + b
m = slopeb = y-interceptTherefore, the equation is y = -9x + 6.
(4) ^ (1/3) * (3 ^ (1/3) * 3 ^ (1/2)) ^ 7 / (9 ^ (3/4))
Answer:
Here is your answer . Hope this helps.
If a man earns 90cents every 3 minutes and he works for a day shift of 5hours how much will he earn in that time?
my answer is 9000cents per 5 hours which is also $90 per 5 hours
Answer:
It is 9000 cents or $90 total for 5 hours
Step-by-step explanation:
Equation : -2 (4g - 3) = 30
Answer:
g = -3
Step-by-step explanation:
-2 (4g - 3) = 30
-8g + 6 = 30
-8g = 24
g = -3
Answer:
[tex] \boxed{g = -3} [/tex]
Step-by-step explanation:
[First, distribute the factored term on the left side of the equation (distribution property of equality)]
-2 ( 4g – 3 ) = 30 →
-2 ( 4g ) – -2 ( 3 ) = 30 →
-8g + 6 = 30 →
[Next, subtract 6 from both sides (subtraction property of equality)]
-8g + 6 – 6 = 30 – 6 →
-8g = 24 →
[Finally, divide both sides by -8 to cancel out the coefficient of -8 in -8g and reduce it to solve for g (division property of equality)]
-8g / -8 = 24 / -8 →
g = -3
Which is an equivalent form of the expression 1800(1.2)-t?
Answer:
2160 - t
Step-by-step explanation:
1800(1.2)-t
2160 - t
