Answer:
1
Step-by-step explanation:
Using the trig. identity
sin²x + cos²x = 1
Given
[tex]\frac{sin^4x-cos^4x}{sin^2x-cos^2x}[/tex]
[tex]sin^{4}[/tex]x - [tex]cos^{4}[/tex]x ← is a difference of squares and factors as
(sin²x - cos²x)(sin²x + cos²x), then fraction becomes
= [tex]\frac{(sin^2x-cos^2x)(sin^2x+cos^2x)}{sin^2x-cos^2x}[/tex] ← cancel (sin²x - cos²x) on numerator/ denominator
= sin²x + cos²x
= 1
what is a number expression that equals 68
4+5
134_75
56.4+6
68/8.7_2+1
Is x – 3 a factor of 5x5 – 3x4 + 2x2 – 9x + 12 ?
Answer:
No
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
If (x - 3) is a factor of the polynomial then f(3) = 0
Given
f(x) = 5[tex]x^{5}[/tex] - 3[tex]x^{4}[/tex] + 2x² - 9x + 12 , then
f(3) = 5[tex](3)^{5}[/tex] - 3[tex](3)^{4}[/tex] + 2(3)² - 9(3) + 12
= 5(243) - 3(81) + 2(9) - 27 + 12
= 1215 - 243 + 18 - 27 + 12 = 975
Since f(3) ≠ 0 then (x - 3) is not a factor of the polynomial
Solve the equation below 7a=56
Answer:
a=8
Step-by-step explanation:
The pH scale measures how acidic or basic a substance is. Lemon juice is said to have a pH of less than 4 and greater than 1.5. Model the normal range of pH values of lemon juice, using a compound inequality.
Answer:
1.5<x<4 i hope this is right sorry if its not
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Which best describes and corrects the error in finding the difference?
Answer:
The first answer choice.
Answer: The opposite of -12 should be added.
7 - (-12) = 7 + 12 = 19
Step-by-step explanation:
The 2 minus signs cancel out and make the 12 positive so 7 - (-12) = 19.
Here are two five-pointed stars. A student said, “Both figures A and B are polygons. They are both composed of line segments and are two-dimensional. Neither have curves.” Do you agree with the statement? Explain your reasoning.
Answer:A
Step-by-step explanation:
Bcnitsreksbeux
Which represents a function? A 2-column table with 5 rows. The first column is labeled x with entries negative 10, negative 5, 0, 5, 10. The second column is labeled y with entries 84, 31.5, 4, 1.5, 24. A mapping diagram shows a relation, using arrows between domain and range for the following ordered pairs: (8, negative 4), (negative 2, 10), (negative 2, negative 7). In the domain, the number 3 does not have a relation to a number in the range. A series of ordered pairs: (4, 5), (6, negative 2), (negative 5, 0), (6, 1)
Answer:
The 1st table represents a function
Step-by-step explanation:
Just trust me on this I took the quiz on edge 202 and got it right
the graph is
x | Y
--------------
-5 | -22
--------------
0 | -2
------------
3 | 10
Solve for h
3/7=h/14-2/7
Answer:
h =10
Step-by-step explanation:
3/7 = h/14 -2\7
3/7 = 1/14 h + -2/7
1/14 h + -2/7 = 3/7
1/14 h + -2/7 +2/7 = 3/7 + 2/7
1/14 h = 5/7
14 * ( 1/14h) = 14* (5/7)
h =10
I need helppppppppp
Answer:
[tex]4^2[/tex]
Step-by-step explanation:
[tex]\frac{4^7}{4^5}=4^{7-5}=4^2[/tex]
What is an equation of the line that passes through the points (-8, 0) (8,4)
Answer:
y= 1/4x + 2
or y= 0.25 x + 2
Step-by-step explanation:
sara says. "if you subtract 14 from my number and multiply the difference by -4, the result is -80." What is Sara's number?
Answer:
34
Step-by-step explanation:
We can solve this equation by giving Sara's number a variable.
Let it be x.
Then we solve by simply interpreting the problem step by step.
"If you subtract 14 from my number..."
x - 14
"...and multiply the different by -4..."
-4(x-14)
"...the result is -80"
-4(x-14) = -80
Now that we have our equation, we can solve for x.
1.) Use distributive property to expand.
-4x + 56 = -80
2.) Subtract 56 from both sides
-4x = -136
3.) Divide by -4
x = 34
Sara's number is 34
Using distributive property to expand, it is found that Sara's number is; 34
What is distributive property?The distributive property states that an expression of the form A(B + C) can be solved by a multiplication over addition operation that is
A(B + C) = AB + AC
This property is known by distributive law and applies to subtraction also.
We need to solve this equation by giving Sara's number a variable.
Let the Sara's number a variable be x.
Then we solve by simply interpreting "If you subtract 14 from my number..." means
x - 14
Then "...and multiply the different by -4..." means -4(x-14)
"...the result is -80"
-4(x-14) = -80
Now that we have our equation,
1.) Use distributive property to expand;
-4x + 56 = -80
Subtract 56 from both sides;
-4x = -136
Now Divide by -4
x = 34
Hence, Sara's number is; 34
Learn more about distributive property here;
https://brainly.com/question/5637942
#SPJ2
someone please solve this 3n+9n=-2(7-4n)-(1+n)
Answer:
n= -3Step-by-step explanation:
[tex]3n+9n=-2(7-4n)-(1+n)\\\\\mathrm{Add\:similar\:elements:}\:3n+9n=12n\\\\12n=-2\left(7-4n\right)-\left(1+n\right)\\\\\mathrm{Expand\:}-2\left(7-4n\right)-\left(1+n\right):\quad 7n-15\\\\12n=7n-15\\\\\mathrm{Subtract\:}7n\mathrm{\:from\:both\:sides}\\\\12n-7n=7n-15-7n\\\\Simplify\\\\5n=-15\\\\\mathrm{Divide\:both\:sides\:by\:}5\\\\\frac{5n}{5}=\frac{-15}{5}\\\\Simplify\\\\n=-3[/tex]
Answer:
n=-3
sorry no steps
Jin has 34 feet of garden fence. He wants the shape of his garden to be a rectangle 5 feet wide.
Which should be the length of Jin's garden?
O A 42 feet
OB 24 feet
O c. 12 feet
D. 6 feet
Construct a frequency distribution and a frequency histogram for the data set using the indicated number of classes. Describe any patterns. Number of classes: 8 Data set: Finishing times (in seconds) of 20 male participants in a 5K race
Answer and Explanation:
Number of classes = 8
Highest value =2300
Lowest value = 1250
Class width= highest value – lowest value / number of classes
= 2300 – 1250/8
= 131.25 = 132
So, we can write class as 1250+132=1382
Class frequency
1250-1382 2
1382-1514 3
1514-1646 6
1646-1778 2
1778-1910 3
1910-2042 2
2042-2174 1
2174-2306 1
A large ice chest holds 62 liters of water. A smaller chest holds 4/5 as much water
How many liters of water does the smaller chest hoid? Move a number to each box to show the answer. HELP ASAP.
Answer:
Step-by-step explanation:
Since a large ice chest holds the water = 62 liters
And smaller chest holds the water = [tex]\frac{4}{5}[/tex] of the larger ice chest
= [tex]\frac{4}{5}\times 62[/tex]
= [tex]\frac{248}{5}[/tex] liters
Therefore, fraction that represents the amount of ice water in the smaller ice chest will have 0 in the first box, 248 in the numerator and 5 in the denominator.
[tex]0\frac{248}{5}[/tex]
what is the answer to 19=-3a-5
Answer:
[tex] \fbox{ \huge{ \sf{ a = - 8}}}[/tex]
Step-by-step explanation:
[tex] \bigstar{ \sf{ \: 19 = - 3a - 5}}[/tex]
[tex] \tt{Step \: 1 \: }[/tex] : Swap the sides of the equation
[tex] \longmapsto{ \sf{ - 3a - 5 = 19}}[/tex]
[tex] \tt{Step \: 2 \: }[/tex] : Move 5 to right hand side and change it's sign
[tex] \longmapsto{ \sf{ - 3a = 19 + 5}}[/tex]
[tex] \tt{Step \: 3 \: }[/tex] : Add the numbers : 19 and 5
[tex] \longmapsto{ \sf{ - 3a = 24}}[/tex]
[tex] \tt{Step \: 4 \: }[/tex] : Divide both sides by -3
[tex] \longmapsto{ \sf{ \frac{ - 3a}{ - 3} = \frac{24}{ - 3}}} [/tex]
[tex] \tt{Step \: 4}[/tex] : Calculate
[tex] \longmapsto{ \sf{a = - 8}}[/tex]
[tex] \sf ∴ \: the \: value \: of \: a \: is \: - 8.[/tex]
[tex] \sf{Hope \: I \: helped !} [/tex]
[tex] \sf{Best \: regards !!}[/tex]
~[tex] \sf{TheAnimeGirl}[/tex]
Tevin bought a box of 25 washers for $3.25. How much did Tevin pay per washer?
0.13 cents
So basically u need to do 3.25÷25.
please help me with these two questions ( show work plz )( it's ok if you only now one)
Answer:
1.8.09
2.-6
Step-by-step explanation:
1. 11b=89
b=89/11
8.09
2. 13+k/3=11
k/3=11-13
k/3=-2
k=-2*3
=-6
Answer:
Number 2 is - 6
Step-by-step explanation:
2. 13 + k/3 = 11
We can start off my subtracting 13 in both sides.
-13 + 13 + k/3 = 11 - 13
k/3 = -2. now we have to multiply 3 in both sides
3 x k/3 = -2 x 3
k = -6
Hope this helps!!
If b = 9, what is
[tex] \sqrt{4b} [/tex]
Answer:
= 6
Step-by-step explanation:
[tex]\sqrt{4b}\\ b = 9\\then:[/tex]
= √(4*9)
= √36
= 6
Help me answer
Expand 3p(p+5)
Answer:
3p² + 15p
Step-by-step explanation:
We use distributive property to distribute 3p to each of the terms:
3p · p = 3p²
3p · 5 = 15p
3p² + 15p
Hey there!☺
[tex]Answer:\boxed{3p^2+15p}[/tex]
[tex]Explanation:[/tex]
[tex]3p(p+5)[/tex]
Let's expand.
[tex]3p(p+5)\\\text{After Expanding: }3p^2+15p[/tex]
So the answer is [tex]3p^2+15p[/tex].
Hope this helps!
Which situation can be represented by the equation x + 15 = 42?
Every bunch of bananas on a shelf has 15 bananas. If there are
42 bunches, how many bananas are on the shelf?
A gardener plants 42 plants in every row. The gardener planted
15 rows. How many plants have been planted?
Jim receives $15 for a barrel of glass bottles he collects for recycling.
If Jim received $42, how many barrels of glass bottles did Jim recycle?
If a grocer adds 15 pieces of fruit to a basket, there are now 42 pieces
in the basket. How many pieces of fruit were already in the basket?
Answer:
The last answer - If a grocery adds 15 pieces of fruit to a basket, there are now 42 pieces on the basket. How many pieces of fruit were already in the basket?
A boat traveled 70 miles in 5 hours.how far did the boat travel in one hour
Answer: 14 miles
Step-by-step explanation:
70/5 = 14
help!!!!!!!! im crying over this stuid question what is the answer
Step-by-step explanation:
S (2, -3)
T (2, -1)
U (1, 0)
One number is twelve greater than another number. Twice the larger plus five times the smaller is 38. Find both numbers.
Answer:
I need points because i have a question
Step-by-step explanation:
And i need major help hope u understand also thanks
please hurry!! the graph of y= 2/x - 1 is shown which statement about the graph is accurate
A. the x-intercept or the graph (2, 1)
B. the graph has no y-intercepts
C. the y-intercept of the graph is (2, 0)
D. the graph has no x-intercepts
Answer:
B. The graph has no y-intercepts
Step-by-step explanation:
We see that we have vertical and horizontal asymptotes.
We also see that the right side of the graph has an x-intercept of (2, 0).
Therefore, A and D are incorrect.
We use the vertical asymptote x = 0 to get our answer B, as we will never cross the y-axis as x approaches negative and positive infinity.
Jill made 20 muffins. She put them into 3 boxes and has two muffins left. How many are in each box if they all contain the same amount of muffins?
Last two questions guys plz answer correctly for 1 more brainliest!!!
Thanks!
:D
Just wanna say thanks to everybody to helped me through this math sheet :3
Answer:
51. 15×2=30
53. 12×6=72
please mark me as brainliast
Answer:
51.)15×2=30
53.)12×6=72
The ratio of boys to girls in the sixth grade is 2:3
1)If there are 24 boys, how many girls are there?
2)If there are 80 students, how many are girls?
Answer:
3*16=48 girls (further explination below)
Step-by-step explanation:
80/(2+3)=16, so since 3 in the ratio is for girls, there are 3*16=48 girls.
This is my first time answering :) your welcome
How do you determine a closer approximation for the square root of 12
Answer:
look at it
Step-by-step explanation:
What does it mean when a variable equals R
Like b=R
Answer:
Step-by-step explanation:
R=r