Answer:
C. 1
Step-by-step explanation:
2cos²(x) - cos(2x) = 1
Answer:
C
Step-by-step explanation:
Using the identity
cos2x = 2cos²x - 1 , then
2cos²x = cos2x + 1
Given
2cos²x - cos2x
= cos2x + 1 - cos2x
= 1 → C
Fine the area of a circle with radius 8 in.
Answer:
around 200.96
Step-by-step explanation:
circle area = pir^2
pi*8^2
pi*64
=around 200.96
Find the image of the given point under the given translation. P(-7, 1) T(x, y) = (x + 9, y-3) P' = ([?], []). Enter the number that belongs in the green box Enter
Answer:
P’ is (2,-2)
Step-by-step explanation:
For us to get the appropriate translation, we have to add 9 to the x-coordinate value and subtract 3 from the y-coordinate value
so, we have the transformation as follows;
(-7+9, 1-3)
= (2,-2)
a mailbox is 55 inches tall and casts a shadow that is 70 inches long. a nearby flagpole casts a shadow that is 196 inches long. how tall is the flagpole?
Answer:
154 inches tall.
Step-by-step explanation:
In this scenario, the sun's angle is the same for both objects. Since we have three values and 1 variable (height of the pole) we can use the Rule of Three to solve this. In this, we simply multiply the diagonal values of the ratios and divide by the third value to get the value of the variable like so...
55 in. <=====> 70 in.
x <=========> 196 in.
(55 * 196) / 70 = x
10,780 / 70 = x
154 in. = x
Finally, we can see that the flagpole is 154 inches tall.
If two heterozygous individuals are crossed, what
percent of their offspring are also expected to be
heterozygous?
Complete the punnet square plssssss
Answer:
50%
Step-by-step explanation:
Example of Aa crossed with Aa (both hetero).
Outcomes are:
AA (homo)
Aa (hetero)
aA (hetero)
aa (homo)
So the ratio of hetero to all outcomes = 2:4 = 50%
Which of the following is a logical conclusion based on the two statements below? If Jake forgets his snack, then he will be hungry at school. Jake forgot his snack. A. Jake was not hungry at school. B. Jake ate his snack. C. Jake also missed breakfast. D. Jake was hungry at school.
Answer:
I believe that the answer is either C or D
Step-by-step explanation:
Jake forgot his snack, which could mean that he was hungry at school. But it could be logical to assume that he forgot his breakfast. I may be wrong in both cases, but these are my best guesses!
Imagine that the intelligence test score (M=100, SD =15) is perfectly correlated with SAT score. Your Z score on SAT is +1.0, your intelligence test score is likely to be:
Answer:
115
Step-by-step explanation:
Given :
Mean of intelligence score = 100
Standard deviation of intelligence score = 15
Since both are perfectly correlated,
The Zscore ON SAT = +1.0
Using the standard normal interpretation, Xcore on SAT of +1.0 means 1 standard deviation to the right
This means :
Mean + 1 standard deviation
100 + 1*15
= 115
We could use the Zscore formula directly too:
Zscore = (x - mean) / standard deviation
Zscore = +1 ; x = score
Hence, we have
1 = (x - 100) / 15
1 * 15 = x - 100
15 = x- 100
x = 15 + 100
x = 115
simplify by adding like terms 3xy+2m+9-xy+3m-4
Answer:
Step-by-step explanation:
3xy +2m +9 -xy +3m -4
add and subtract like terms
=3xy-xy+2m+3m+9-4
=2xy+5m+5
Answer:
2xy+5m+5
Step-by-step explanation:
3xy+2m+9-xy+3m-4=(3xy-xy)+(2m+3m)+(9-4) =2xy+5m+5
Engineers speculate that W, the amount of weight (in units of 1000 pounds) that a certain span of a bridge can withstand without structural damage resulting, is normally distributed with mean 400 and standard deviation 40. Suppose that the weight (again, in units of 1000 pounds) of a car is a random variable with mean 3 and standard deviation.3. Approximately how many cars would have to be on the bridge span for the probability of structural damage to exceed .1?
A. 106
B. 123
C. 120
D. 115
E. 117
Answer:
n = 116.2 ≈ 117
Option E) 117 is the correct answer.
Step-by-step explanation:
Given the data in the question;
Exceed = 0.1
{ 1 - 0.1 = 0.9 }
normal table value at 0.9 = - 1.285
Normal table;
hence
( y - 400 ) / 40 = -1.285
y - 400 = -51.4
y = 400 - 51.4
y = 348.6
so,
348.6 = ∈(y) = ∈[ ⁿ∑[tex]_{i=1[/tex] X[tex]_i[/tex] ]
348.6 = n.∈( X[tex]_i[/tex] )
we substitute
348.6 = n × 3
n = 348.6 / 3
n = 116.2 ≈ 117 { roundup since we talking of number of cars i.e sample size }
Option E) 117 is the correct answer.
Math help please and thank you
Answer:
Both m^2 and cm^2 are given below. Take your pick.
Step-by-step explanation:
Area = L * W
L = 1.57 m * 100 cm / 1 meter = 157 cm
W = 45 cm
Area = 157 cm * 45 cm = 7065 cm^2
In meters, the width would be 45 cm * 1 m / 100 cm = 0.45 m
Area = L * W
L = 1.57 m
W = 0.45 M
Area = 1.57 * 0.45
Area = 0.7065 m^2
Can someone please help ?!thank you !
Answer:
72
Step-by-step explanation:
67+5= 72
Your throw your ball into a air from height of 4.2
If f(x)= 2x^5-3x^3+2x^2+1, then f(1)=?
A. -1
B. 0
C. 1
D. 2
E. 4
Answer:
2
Step-by-step explanation:
f(x)= 2x^5-3x^3+2x^2+1
Let x=1
f(1)= 2(1)^5-3(1)^3+2(1)^2+1
= 2*1 -3*1+2(1) +1
= 2-3+2+1
2
[tex] \tt{if \: \: f(x) = 2 {x}^{5} - 3{x}^{3} + 2 {x}^{2} + 1 \: \: then \: \: f(1) = ?}[/tex]
Let's try![tex]\quad \quad \quad \quad \tt{f(x) = 2 {x}^{5} - 3 {x}^{3} + 2 {x}^{2} + 1}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 {(1)}^{5} - 3 {(1)}^{3} + 2 {(1)}^{2} + 1}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 (1) - 3 (1) + 2 (1) + 1}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 - 3 + 2 + 1}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 - 3 +3}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 \: \: \cancel{ \color{red}- 3 +3}}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 }[/tex]
Hence, The answer is:[tex]\quad \quad \quad \quad \huge\boxed{\tt{ \color{green}f(x) = 2 }}[/tex]________
#LetsStudy
The browns are moving across the counrty. Mr. Brown leaves 2.5 hours before Mrs. Brown, if he averages 75 mph and she averages 85 mph, how many hours will it take Mrs. Brown to catch up to Mr. Brown?
Answer:
the time taken by Mrs Brown to catch up is 18.75 hours
Step-by-step explanation:
Given;
average speed of Mr Brown = 75 mph
average speed of Mrs Brown, = 85 mph
time first traveled by Mr Brown = 2.5 hours
The distance traveled by Mr Brown before Mrs Brown start her own Journey;
D = speed x time
D = 75 mph x 2.5 h
D = 187.5 miles
Let the time taken by Mrs Brown to catch up = t
(85 - 75)t = 187.5
10t = 187.5
t = 18.75 hours
Check:
after 18.75 hours: Mrs Brown will travel ⇒ 18.75 x 85 = 1593.75 miles
after (2.5 h + 18.75h) : Mr Brown will travel ⇒ 21.25 x 75 = 1593.75 miles
A. 24
B. 12
C. 14
D. 16
Answer:
I believe it is C, 14. sorry if its wrong! ^^"
Step-by-step explanation:
Answer:
D. 16
Step-by-step explanation:
the scale factor says it all
PR = 15 PQ = 8 AC = 30
meaning each side length from the bigger triangle is twice as larger than the other triangle
Four students share 7 feet of ribbon equally. How many feet of ribbon does each student get? 7 ÷ 4 = 7 4 = 4 Each student's share is 4 feet of ribbon.
Answer:
Each student gets 1.75 ft of ribbon
Step-by-step explanation:
r × 4 = 7
First, divide the given factor by itself in order to get the variable by itself.
4 ÷ 4
Next, divide the product by the given factor bc what you do to the left, you must do to other side.
7 ÷ 4
Last, right down your new equation and find you solution.
New Equation: r = 1.75
Answer:
Step-by-step explanation:
What is the average rate of change of f over the interval [3,4]?
Answer:
4
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ 3, 4 ] , then
f(b) = f(4) = - 1 ← from table
f(a) = f(3) = - 5 ← from table , then
average rate of change = [tex]\frac{-1-(-5)}{4-3}[/tex] = [tex]\frac{-1+5}{1}[/tex] = 4
Which equation represents a line that passes through (-9, -3) and has a slope of -6?
Answer:
below
Step-by-step explanation:
that is the procedure above
can a theorem easily be proved by using corollary
Answer:
Yes, of course
Step-by-step explanation:
Corollary simply means the similar case or alike. So we can apply same theorem. Although it may be lengthy and bit tricky but its easy to prove.
Four students equally shared 1/2 pan of brownies. What fraction of the whole pan of brownies did each brother get
2 pan......................
.................
Answer:
1/8 of the whole pan
Step-by-step explanation:
Multiply the brothers by 2 to get 8 brothers for 1 whole pan of brownies now what fraction of the pan does each brother get. This method will get the answer 1/8.
Juan has 2 1/4 L of fruit purée Juan uses 3/8 leader from pier to make once movie which expression can be used to find the number of movies you can make
Answer:
See explanation
Step-by-step explanation:
Total fruit purée = 2 1/4 L
purée for One movie = 3/8 L
which expression can be used to find the number of movies you can make
Number of movies you can make = Total fruit purée ÷ purée for One movie
= 2 1/4 ÷ 3/8
= 9/4 ÷ 3/8
= 9/4 × 8/3
= (9*8) / (4*3)
= 72 ÷ 12
= 6
Number of movies you can make = 6
What number is three times larger than 3×10 exponent
4 on top of the ten
What is the slope of the line? Khan academy
The volume of a cylinder is given by the formula V = pier2, where r is the radius of the cylinder and h is the height. Suppose a cylindrical can has radius (x + 8) and height (2x + 3). Which expression represents the volume of the can?
Answer:
The volume of the cylinder is defined by the expression .
[tex]V=\pi (x+8)^2 (2x+3) or V=\pi (2x^3 + 35x^2 + 176x +192)[/tex]
The volume of the cylinder where the radius is r = ( x + 8 ) and height is h = ( 2x + 3 ) is given by the expression V = π ( 2x³ + 35x² + 176x + 192 ) units³
What is a Cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is
Volume of Cylinder = πr²h
Surface area of cylinder = 2πr ( r + h )
where r is the radius of the cylinder
h is the height of the cylinder
Given data ,
Let the volume of the cylinder be V
Now , the radius of the cylinder is r = ( x + 8 ) units
The height of the cylinder is h = ( 2x + 3 ) units
And , Volume of Cylinder = πr²h
On simplifying , we get
The volume of cylinder V = π ( x + 8 )² ( 2x + 3 ) units³
The volume of cylinder V = π ( x² + 16x + 64 ) ( 2x + 3 )
The volume of cylinder V = π ( 2x³ + 35x² + 176x + 192 ) units³
Hence , the volume of cylinder is V = π ( 2x³ + 35x² + 176x + 192 ) units³
To learn more about cylinder click :
https://brainly.com/question/16134180
#SPJ7
test the validity of these statement "if my brother stands first in the class, i give him a watch . Either he stood first or I was out of the station I did not give my brother a watch this time . Therefore I was out of station.
Answer: yeah looks logically correct
Step-by-step explanation: I he got the watch he was 1st
Fact is he didn't get the watch therefore he wasn't first
Therefore 2nd holds true also - if not first then not in station
No watch = not in station
What are the values of m and in the diagram below?
Can someone help me complete this worksheet please and thank you it’s all multiple choice
Answer:
1. D 12.8 cm
2. B 4.2 m
3. A 9.59
4. A 6.95
5. B 17.5 cm
If using the method of completing the square to solve the quadratic equation
x^2– 10x + 21 = 0, which number would have to be added to "complete the
square"?
Answer: 25
Step-by-step explanation: The number that is added to both sides is the number that is needed to create a perfect square trinomial.
The question is, what is that number?
Well, it comes from a formula. The number that is added to both sides always comes from half the coefficient of the middle term squared.
So half of -10 squared or -5 squared which is 25.
So 25 is added to both sides.
A shadow of a gurl standing in the sun is 110 cm long whereas the shadow of a 30cm ruler is 20 cm long how tall is Sierra?
Answer:
165 cm
Step-by-step explanation:
We solve using the rule
Shadow of ruler/Length of ruler = Shadow of the girl /Length of the girl
Shadow of ruler = 20cm
Length of ruler = 30cm
Shadow of the girl = 110cm
Length of the girl = x
Hence:
20/30 = 110/x
Cross Multiply
20x = 30 × 110
x = 30 × 110/20
x = 165 cm
Therefore, Sierra(the girl) is 165cm tall
What are the answers to this someone please help.
1234567890233572o7o5y345uo22u.3936584643728284/43794729237932972478864966666666666666666666666666666666663870434573428734907 goood luck!
Does anyone know if this is correct if not please let me know the answer
Answer:
The answer is negative, the one you chose in the picture.
Step-by-step explanation:
Positive slope would be going upwards.
Negative slope would be going downwards.
Slopes that are zero would be horizontal.
Slopes that are undefined would be vertical.
So, the reason why the slope is negative is that the line is going downhill.
Hope this is helpful